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Finding the Third Proportional to 267,775,382.25 and 413,781,213.38

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Solution

The third proportional to 267,775,382.25 and 413,781,213.38 is: 639,397,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,775,382.25 : 413,781,213.38 = 413,781,213.38 : x
  2. Step 2: Convert to fraction form
    267,775,382.25/413,781,213.38 = 413,781,213.38/x
  3. Step 3: Cross multiply
    267,775,382.25x = 413,781,213.38 × 413,781,213.38
  4. Step 4: Simplify right side
    267,775,382.25x = 171,214,892,542,087,264
  5. Step 5: Solve for x
    x = 171,214,892,542,087,264/267,775,382.25
  6. Step 6: Final answer
    x = 639,397,434.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.