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Could a black hole be ripped apart if it passed directly between two other black holes that were millions of times bigger?

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First, a black hole between two black holes has two places where two black holes are near each other. This is much like two black holes merging. The two do not rip each other apart.

You have probably seen videos showing two black holes circling each other until - blip - there is one black hole. If not, here is one from CalTech. Two Black Holes Merge into One

Here is a numerical simulation from CalTech that shows the final moment of the first merger detected in 2019. You can see the shape is distorted, but not ripped apart. GW190412: Binary Black Hole Merger

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