Finding the Third Proportional to 1,316,284,542,422 and 2,669,580,008,788
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Solution
The third proportional to 1,316,284,542,422 and 2,669,580,008,788 is: 5,414,222,528,365.56
Step by Step Solution
- Step 1: Write the proportion equation
1,316,284,542,422 : 2,669,580,008,788 = 2,669,580,008,788 : x - Step 2: Convert to fraction form
1,316,284,542,422/2,669,580,008,788 = 2,669,580,008,788/x - Step 3: Cross multiply
1,316,284,542,422x = 2,669,580,008,788 × 2,669,580,008,788 - Step 4: Simplify right side
1,316,284,542,422x = 7,126,657,423,320,538,419,298,304 - Step 5: Solve for x
x = 7,126,657,423,320,538,419,298,304/1,316,284,542,422 - Step 6: Final answer
x = 5,414,222,528,365.56
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.