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Finding the Third Proportional to 865,744,372.50 and 1,854,074,493

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Solution

The third proportional to 865,744,372.50 and 1,854,074,493 is: 3,970,678,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,744,372.50 : 1,854,074,493 = 1,854,074,493 : x
  2. Step 2: Convert to fraction form
    865,744,372.50/1,854,074,493 = 1,854,074,493/x
  3. Step 3: Cross multiply
    865,744,372.50x = 1,854,074,493 × 1,854,074,493
  4. Step 4: Simplify right side
    865,744,372.50x = 3,437,592,225,593,207,296
  5. Step 5: Solve for x
    x = 3,437,592,225,593,207,296/865,744,372.50
  6. Step 6: Final answer
    x = 3,970,678,106.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.