I happen to have written a module which understands that syntax. You could use it like this:
use strict;
use warnings;
use 5.010;
use Math::Expression::Evaluator;
my $m = Math::Expression::Evaluator->new;
# read all the variables
$m->parse("x1=3.8; x2=5.8; x3=4.1; y1=10.1; y2=11.6; y3=12.7")->val;
# do the calculations you are interested in:
say $m->parse("x1 * x2")->val;
Not saying it's the best solution, it just happens to work :-)
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