Finding the Third Proportional to 741,720,501,944 and 1,606,663,419,807
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Solution
The third proportional to 741,720,501,944 and 1,606,663,419,807 is: 3,480,242,676,021.94
Step by Step Solution
- Step 1: Write the proportion equation
741,720,501,944 : 1,606,663,419,807 = 1,606,663,419,807 : x - Step 2: Convert to fraction form
741,720,501,944/1,606,663,419,807 = 1,606,663,419,807/x - Step 3: Cross multiply
741,720,501,944x = 1,606,663,419,807 × 1,606,663,419,807 - Step 4: Simplify right side
741,720,501,944x = 2,581,367,344,545,924,061,855,744 - Step 5: Solve for x
x = 2,581,367,344,545,924,061,855,744/741,720,501,944 - Step 6: Final answer
x = 3,480,242,676,021.94
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.