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Finding the Third Proportional to 180,469,762 and 267,427,299

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Solution

The third proportional to 180,469,762 and 267,427,299 is: 396,284,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,469,762 : 267,427,299 = 267,427,299 : x
  2. Step 2: Convert to fraction form
    180,469,762/267,427,299 = 267,427,299/x
  3. Step 3: Cross multiply
    180,469,762x = 267,427,299 × 267,427,299
  4. Step 4: Simplify right side
    180,469,762x = 71,517,360,250,435,400
  5. Step 5: Solve for x
    x = 71,517,360,250,435,400/180,469,762
  6. Step 6: Final answer
    x = 396,284,449.31

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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.