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Finding the Third Proportional to 34,760,385 and 47,337,711

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Solution

The third proportional to 34,760,385 and 47,337,711 is: 64,465,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,760,385 : 47,337,711 = 47,337,711 : x
  2. Step 2: Convert to fraction form
    34,760,385/47,337,711 = 47,337,711/x
  3. Step 3: Cross multiply
    34,760,385x = 47,337,711 × 47,337,711
  4. Step 4: Simplify right side
    34,760,385x = 2,240,858,882,719,521
  5. Step 5: Solve for x
    x = 2,240,858,882,719,521/34,760,385
  6. Step 6: Final answer
    x = 64,465,882.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.