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google sheets import and sum data from multiple sheets

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I'm at a loss as to do what I'm wanting.

Main Sheet:
TA 30
TB 50
TC 12

Sheet TA:
C .45
D .36
E .12

Sheet TB:
C .44
G .03
R .15

Sheet TC:
C .10
D .06
Z .09

What i'm wanting to do is take TA and multiply 30 times C,D,E and then add it to 50 times C,G,R and 12 times C,D,Z

so i would end up with

C 36.7
D 11.52
E 3.6
G 1.5
R 7.5
Z 1.08

36.7 would come from 30*.45+50*.44+12*.1
11.52 would come from 30*.10.8+12*.72


i hope this makes sense...

any help would be appreciated


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