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Finding the Third Proportional to 34,769,454 and 75,522,468

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Solution

The third proportional to 34,769,454 and 75,522,468 is: 164,041,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,769,454 : 75,522,468 = 75,522,468 : x
  2. Step 2: Convert to fraction form
    34,769,454/75,522,468 = 75,522,468/x
  3. Step 3: Cross multiply
    34,769,454x = 75,522,468 × 75,522,468
  4. Step 4: Simplify right side
    34,769,454x = 5,703,643,172,811,024
  5. Step 5: Solve for x
    x = 5,703,643,172,811,024/34,769,454
  6. Step 6: Final answer
    x = 164,041,781.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.