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Finding the Third Proportional to 267,540,084 and 413,484,912

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Solution

The third proportional to 267,540,084 and 413,484,912 is: 639,043,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,540,084 : 413,484,912 = 413,484,912 : x
  2. Step 2: Convert to fraction form
    267,540,084/413,484,912 = 413,484,912/x
  3. Step 3: Cross multiply
    267,540,084x = 413,484,912 × 413,484,912
  4. Step 4: Simplify right side
    267,540,084x = 170,969,772,451,647,744
  5. Step 5: Solve for x
    x = 170,969,772,451,647,744/267,540,084
  6. Step 6: Final answer
    x = 639,043,577.68

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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.