Finding the Third Proportional to 749,744,843,954 and 1,142,158,804,863
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Solution
The third proportional to 749,744,843,954 and 1,142,158,804,863 is: 1,739,960,929,436.03
Step by Step Solution
- Step 1: Write the proportion equation
749,744,843,954 : 1,142,158,804,863 = 1,142,158,804,863 : x - Step 2: Convert to fraction form
749,744,843,954/1,142,158,804,863 = 1,142,158,804,863/x - Step 3: Cross multiply
749,744,843,954x = 1,142,158,804,863 × 1,142,158,804,863 - Step 4: Simplify right side
749,744,843,954x = 1,304,526,735,526,076,511,944,704 - Step 5: Solve for x
x = 1,304,526,735,526,076,511,944,704/749,744,843,954 - Step 6: Final answer
x = 1,739,960,929,436.03
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.