Finding the Third Proportional to 581,114,069,476 and 817,980,068,022
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Solution
The third proportional to 581,114,069,476 and 817,980,068,022 is: 1,151,394,238,801.70
Step by Step Solution
- Step 1: Write the proportion equation
581,114,069,476 : 817,980,068,022 = 817,980,068,022 : x - Step 2: Convert to fraction form
581,114,069,476/817,980,068,022 = 817,980,068,022/x - Step 3: Cross multiply
581,114,069,476x = 817,980,068,022 × 817,980,068,022 - Step 4: Simplify right side
581,114,069,476x = 669,091,391,681,275,700,969,472 - Step 5: Solve for x
x = 669,091,391,681,275,700,969,472/581,114,069,476 - Step 6: Final answer
x = 1,151,394,238,801.70
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.