They will become an American citizen
== == In Short: no.
No, not unless you start the paperwork in Brazil. You would have to give up your US citizenship to become a citizen of Brazil. Your new spouse doesn't become a US citizen either through marriage and they would have to apply for citizenship here too. Only being born in the US makes a person an automatic citizen.
no they do not the Mexican instead becomes an American citizen
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In the appropriate court in the state or province where they now reside.
No. citizenship has to do with where you were born, and where your parents were born. It has nothing to do with marriage.
Not automatically. They have to apply for a green card and then apply for Naturalization.
if ur in an American military base u r basicly not in Germany.
No, but the Russian may be able to get a green card but might be required to go back home during the paperwork phase.
No. When you are born an American you are always an American unless you decide to take the citizenship of another country.