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Finding the Third Proportional to 36,972,715 and 79,791,201

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Solution

The third proportional to 36,972,715 and 79,791,201 is: 172,198,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972,715 : 79,791,201 = 79,791,201 : x
  2. Step 2: Convert to fraction form
    36,972,715/79,791,201 = 79,791,201/x
  3. Step 3: Cross multiply
    36,972,715x = 79,791,201 × 79,791,201
  4. Step 4: Simplify right side
    36,972,715x = 6,366,635,757,022,401
  5. Step 5: Solve for x
    x = 6,366,635,757,022,401/36,972,715
  6. Step 6: Final answer
    x = 172,198,221.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.