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Finding the Third Proportional to 221,427,395 and 475,715,327

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Solution

The third proportional to 221,427,395 and 475,715,327 is: 1,022,028,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,427,395 : 475,715,327 = 475,715,327 : x
  2. Step 2: Convert to fraction form
    221,427,395/475,715,327 = 475,715,327/x
  3. Step 3: Cross multiply
    221,427,395x = 475,715,327 × 475,715,327
  4. Step 4: Simplify right side
    221,427,395x = 226,305,072,342,716,928
  5. Step 5: Solve for x
    x = 226,305,072,342,716,928/221,427,395
  6. Step 6: Final answer
    x = 1,022,028,337.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.