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Default Ignore blanks in multiplication formula

I've got a column of ten cells that I want multiplied together, i.e.,
=A1*A2*...*A9*A10. A couple of these cells are blank, and I want to ignore
those cells. For instance, say cells A3, A4, and A7 are blank, then I want
the product to come out =A1*A2*A5*A6*A8*A9*A10 rather than just zero. In the
next column, maybe B1 and B8 are blank, and then I want those cells ignored
for the product of their column.

Is there any formula for this? Thanks!
 
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