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Finding the Third Proportional to 267,053,586 and 569,381,280

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Solution

The third proportional to 267,053,586 and 569,381,280 is: 1,213,970,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,053,586 : 569,381,280 = 569,381,280 : x
  2. Step 2: Convert to fraction form
    267,053,586/569,381,280 = 569,381,280/x
  3. Step 3: Cross multiply
    267,053,586x = 569,381,280 × 569,381,280
  4. Step 4: Simplify right side
    267,053,586x = 324,195,042,014,438,400
  5. Step 5: Solve for x
    x = 324,195,042,014,438,400/267,053,586
  6. Step 6: Final answer
    x = 1,213,970,000.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.