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Finding the Third Proportional to 391,061,616 and 849,383,744

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Solution

The third proportional to 391,061,616 and 849,383,744 is: 1,844,856,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,061,616 : 849,383,744 = 849,383,744 : x
  2. Step 2: Convert to fraction form
    391,061,616/849,383,744 = 849,383,744/x
  3. Step 3: Cross multiply
    391,061,616x = 849,383,744 × 849,383,744
  4. Step 4: Simplify right side
    391,061,616x = 721,452,744,571,457,536
  5. Step 5: Solve for x
    x = 721,452,744,571,457,536/391,061,616
  6. Step 6: Final answer
    x = 1,844,856,961.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.