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Finding the Third Proportional to 267,193,344 and 588,738,012

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Solution

The third proportional to 267,193,344 and 588,738,012 is: 1,297,234,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,193,344 : 588,738,012 = 588,738,012 : x
  2. Step 2: Convert to fraction form
    267,193,344/588,738,012 = 588,738,012/x
  3. Step 3: Cross multiply
    267,193,344x = 588,738,012 × 588,738,012
  4. Step 4: Simplify right side
    267,193,344x = 346,612,446,773,712,128
  5. Step 5: Solve for x
    x = 346,612,446,773,712,128/267,193,344
  6. Step 6: Final answer
    x = 1,297,234,585.21

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.