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Finding the Third Proportional to 981,861,327 and 2,181,646,593

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Solution

The third proportional to 981,861,327 and 2,181,646,593 is: 4,847,509,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,861,327 : 2,181,646,593 = 2,181,646,593 : x
  2. Step 2: Convert to fraction form
    981,861,327/2,181,646,593 = 2,181,646,593/x
  3. Step 3: Cross multiply
    981,861,327x = 2,181,646,593 × 2,181,646,593
  4. Step 4: Simplify right side
    981,861,327x = 4,759,581,856,748,508,160
  5. Step 5: Solve for x
    x = 4,759,581,856,748,508,160/981,861,327
  6. Step 6: Final answer
    x = 4,847,509,241.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.