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It is indeed not a personal name, but more of a last name: the English equivalent would be Peterson. The reason you might be confused is that Slavic people have 2 last names rather than two given ones. The second name actually means daughter of/son of and depends on your father's name. So, two brothers or two sisters would have the same second name.
Btw, I recently saw Petrova on a website that claimed it was a Russian given name. Is that where you got it? The site was called 20,000 names or something like this
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