This is the 7494th most frequent Russian word.
детройте
"Детройте" is not a standalone Russian word; it might refer to "Detroit" (Детройт) in a context of location or form, but additional context is needed for precise meaning.
Here 'Детройте' is used as the locative form (prepositional case) of 'Детройт', referring to the city being the location of living.
Я живу в Детройте.
I live in Detroit.
In this case, 'Детройте' is again in the prepositional case, used to specify the location linked to the problems mentioned.
Мы обсуждали проблемы в Детройте.
We were discussing issues in Detroit.
Once more, 'Детройте' appears in the prepositional case, indicating the location of the forthcoming event.