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Finding the Third Proportional to 267,053,487 and 569,381,094

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Solution

The third proportional to 267,053,487 and 569,381,094 is: 1,213,969,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,053,487 : 569,381,094 = 569,381,094 : x
  2. Step 2: Convert to fraction form
    267,053,487/569,381,094 = 569,381,094/x
  3. Step 3: Cross multiply
    267,053,487x = 569,381,094 × 569,381,094
  4. Step 4: Simplify right side
    267,053,487x = 324,194,830,204,636,864
  5. Step 5: Solve for x
    x = 324,194,830,204,636,864/267,053,487
  6. Step 6: Final answer
    x = 1,213,969,657.71

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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.