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Finding the Third Proportional to 4,737,217 and 10,419,001

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Solution

The third proportional to 4,737,217 and 10,419,001 is: 22,915,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737,217 : 10,419,001 = 10,419,001 : x
  2. Step 2: Convert to fraction form
    4,737,217/10,419,001 = 10,419,001/x
  3. Step 3: Cross multiply
    4,737,217x = 10,419,001 × 10,419,001
  4. Step 4: Simplify right side
    4,737,217x = 108,555,581,838,001
  5. Step 5: Solve for x
    x = 108,555,581,838,001/4,737,217
  6. Step 6: Final answer
    x = 22,915,475.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.