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Finding the Third Proportional to 34,732,008 and 51,057,414

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Solution

The third proportional to 34,732,008 and 51,057,414 is: 75,056,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,732,008 : 51,057,414 = 51,057,414 : x
  2. Step 2: Convert to fraction form
    34,732,008/51,057,414 = 51,057,414/x
  3. Step 3: Cross multiply
    34,732,008x = 51,057,414 × 51,057,414
  4. Step 4: Simplify right side
    34,732,008x = 2,606,859,524,367,396
  5. Step 5: Solve for x
    x = 2,606,859,524,367,396/34,732,008
  6. Step 6: Final answer
    x = 75,056,401.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.