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Finding the Third Proportional to 34,753,295 and 47,198,865

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Solution

The third proportional to 34,753,295 and 47,198,865 is: 64,101,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,753,295 : 47,198,865 = 47,198,865 : x
  2. Step 2: Convert to fraction form
    34,753,295/47,198,865 = 47,198,865/x
  3. Step 3: Cross multiply
    34,753,295x = 47,198,865 × 47,198,865
  4. Step 4: Simplify right side
    34,753,295x = 2,227,732,857,288,225
  5. Step 5: Solve for x
    x = 2,227,732,857,288,225/34,753,295
  6. Step 6: Final answer
    x = 64,101,342.26

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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.