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Finding the Third Proportional to 36,008,694 and 78,847,386

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Solution

The third proportional to 36,008,694 and 78,847,386 is: 172,650,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,008,694 : 78,847,386 = 78,847,386 : x
  2. Step 2: Convert to fraction form
    36,008,694/78,847,386 = 78,847,386/x
  3. Step 3: Cross multiply
    36,008,694x = 78,847,386 × 78,847,386
  4. Step 4: Simplify right side
    36,008,694x = 6,216,910,279,032,996
  5. Step 5: Solve for x
    x = 6,216,910,279,032,996/36,008,694
  6. Step 6: Final answer
    x = 172,650,257.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.