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Finding the Third Proportional to 180,469,774 and 267,427,311

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Solution

The third proportional to 180,469,774 and 267,427,311 is: 396,284,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,469,774 : 267,427,311 = 267,427,311 : x
  2. Step 2: Convert to fraction form
    180,469,774/267,427,311 = 267,427,311/x
  3. Step 3: Cross multiply
    180,469,774x = 267,427,311 × 267,427,311
  4. Step 4: Simplify right side
    180,469,774x = 71,517,366,668,690,720
  5. Step 5: Solve for x
    x = 71,517,366,668,690,720/180,469,774
  6. Step 6: Final answer
    x = 396,284,458.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.