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WRAPUP 9-Rescuers pull survivors from ruined Ukrainian apartment building

(Updates apartment building death toll)

* Nine rescued from under rubble in Chasiv Yar, Zelenskiy says

* Residents tell of miraculous escapes; death toll rises to 31

* Separate bombardment kills three in second city Kharkiv

* Russia has 'big advantage' in artillery, Zelenskiy says

By Anna Voitenko and Tom Balmforth

CHASIV YAR, Ukraine/KYIV, July 11 (Reuters) - Rescuers pulled survivors on Monday from an apartment block destroyed by a Russian missile strike that killed 31 people in eastern Ukraine, President Volodymyr Zelenskiy said while lamenting Moscow's firepower advantage despite billions in Western aid.

The civilian deaths hammered home the human cost of Russia's invasion, now in its fifth month, as Russian President Vladimir Putin's forces push to capture all of Ukraine's industrial Donbas region after declaring victory in one of its two provinces this month.

In the city of Chasiv Yar, rescue workers made voice contact with two people in the wreckage of the five-storey building demolished on Saturday. Video showed them pulling survivors from the debris, where up to two dozen people had been trapped.

But the death toll also rose steadily, Ukraine's State Emergency Service said, as more bodies were pulled from under ruined concrete. In a nightly address, Zelenskiy said 31 people had been killed and nine saved from the rubble.

One survivor, who gave her name as Venera, said she had wanted to save her two kittens.

"I was thrown into the bathroom, it was all chaos, I was in shock, all covered in blood," she said, crying. "By the time I left the bathroom, the room was full up of rubble, three floors fell down.

"I never found the kittens."

Rescuers could be seen lifting one person from the ruins to a stretcher, and carrying away two bodies in white bags.

Military experts say Russia is using barrages like the one on Chasiv Yar in Donetsk province to pave the way for a renewed push for territory by ground forces, after claiming victory in Luhansk province on July 4. Both have been partly controlled by Russian-backed separatists since 2014.

Putin, who says he aims to hand control of Donbas to the separatists, on Monday eased rules for Ukrainians to acquire Russian citizenship.

"(Russia) indeed unfortunately has a big advantage in artillery," President Zelenskiy told reporters in Kyiv earlier on Monday alongside Dutch Prime Minister Mark Rutte.

"With all the partners who are ready to give support, I talk about artillery. There is indeed not enough."

A spokesman for Ukraine's International Legion, a fighting unit of foreign troops, said Ukraine's heavy artillery was outnumbered roughly eight to one by Russian guns.