Crossword Genius

Men backing film put in cash to make capital (10)

Ross

I believe the answer is:

providence

I'm a little stuck... Click here to teach me more about this clue!

'capital' is the definition.
(state capital of Rhode Island)

'men backing film put in cash' is the wordplay.
I cannot really understand how this works, but
'backing' could be 'pro' (I've seen this in another clue) and 'pro' is present in the answer.
'film' could be 'vid' (short for video) and 'vid' is found within the answer.
'cash' could be 'c' and 'c' is present in the answer.
The remaining letters 'ene' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

'to make' is the link.

Can you help me to learn more?

(Other definitions for providence that I've seen before include "US state capital" , "tender care" , "fortune" .)

I've seen this clue in The Times.
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