This is the 9380th most frequent Russian word.
теперішнє
"Теперішнє" is Ukrainian, not Russian, and it means "present" (as in the current time or state).
Here, 'теперішнє' is used as a noun referring to the concept of 'present time'.
Теперішнє час — это момент, в котором мы живём.
The present time is the moment in which we live.
In this context, 'теперішнє' modifies 'мире', indicating the time frame of the 'world' as the present one.
В теперішньому мире важно сохранять мир и гармонию.
In the present world, it is important to maintain peace and harmony.
Here, 'теперішнє' modifies 'состояние', describing the state as pertaining to the present.