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Finding the Third Proportional to 4,193,737 and 9,172,478

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Solution

The third proportional to 4,193,737 and 9,172,478 is: 20,061,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,737 : 9,172,478 = 9,172,478 : x
  2. Step 2: Convert to fraction form
    4,193,737/9,172,478 = 9,172,478/x
  3. Step 3: Cross multiply
    4,193,737x = 9,172,478 × 9,172,478
  4. Step 4: Simplify right side
    4,193,737x = 84,134,352,660,484
  5. Step 5: Solve for x
    x = 84,134,352,660,484/4,193,737
  6. Step 6: Final answer
    x = 20,061,904.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.