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Finding the Third Proportional to 15,565,452,419,481 and 33,473,451,904,484

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Solution

The third proportional to 15,565,452,419,481 and 33,473,451,904,484 is: 71,984,543,218,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,565,452,419,481 : 33,473,451,904,484 = 33,473,451,904,484 : x
  2. Step 2: Convert to fraction form
    15,565,452,419,481/33,473,451,904,484 = 33,473,451,904,484/x
  3. Step 3: Cross multiply
    15,565,452,419,481x = 33,473,451,904,484 × 33,473,451,904,484
  4. Step 4: Simplify right side
    15,565,452,419,481x = 1,120,471,982,401,803,531,793,203,200
  5. Step 5: Solve for x
    x = 1,120,471,982,401,803,531,793,203,200/15,565,452,419,481
  6. Step 6: Final answer
    x = 71,984,543,218,253.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.