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Finding the Third Proportional to 15,815,901 and 32,576,343

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Solution

The third proportional to 15,815,901 and 32,576,343 is: 67,098,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815,901 : 32,576,343 = 32,576,343 : x
  2. Step 2: Convert to fraction form
    15,815,901/32,576,343 = 32,576,343/x
  3. Step 3: Cross multiply
    15,815,901x = 32,576,343 × 32,576,343
  4. Step 4: Simplify right side
    15,815,901x = 1,061,218,123,253,649
  5. Step 5: Solve for x
    x = 1,061,218,123,253,649/15,815,901
  6. Step 6: Final answer
    x = 67,098,176.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.