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Finding the Third Proportional to 123,040,474 and 267,205,226

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Solution

The third proportional to 123,040,474 and 267,205,226 is: 580,285,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,040,474 : 267,205,226 = 267,205,226 : x
  2. Step 2: Convert to fraction form
    123,040,474/267,205,226 = 267,205,226/x
  3. Step 3: Cross multiply
    123,040,474x = 267,205,226 × 267,205,226
  4. Step 4: Simplify right side
    123,040,474x = 71,398,632,801,711,072
  5. Step 5: Solve for x
    x = 71,398,632,801,711,072/123,040,474
  6. Step 6: Final answer
    x = 580,285,742.41

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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.