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Finding the Third Proportional to 415,415,070 and 657,799,132.50

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Solution

The third proportional to 415,415,070 and 657,799,132.50 is: 1,041,608,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,415,070 : 657,799,132.50 = 657,799,132.50 : x
  2. Step 2: Convert to fraction form
    415,415,070/657,799,132.50 = 657,799,132.50/x
  3. Step 3: Cross multiply
    415,415,070x = 657,799,132.50 × 657,799,132.50
  4. Step 4: Simplify right side
    415,415,070x = 432,699,698,717,752,576
  5. Step 5: Solve for x
    x = 432,699,698,717,752,576/415,415,070
  6. Step 6: Final answer
    x = 1,041,608,092.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.