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Finding the Third Proportional to 41,381,850 and 97,548,564

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Solution

The third proportional to 41,381,850 and 97,548,564 is: 229,949,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,381,850 : 97,548,564 = 97,548,564 : x
  2. Step 2: Convert to fraction form
    41,381,850/97,548,564 = 97,548,564/x
  3. Step 3: Cross multiply
    41,381,850x = 97,548,564 × 97,548,564
  4. Step 4: Simplify right side
    41,381,850x = 9,515,722,338,462,096
  5. Step 5: Solve for x
    x = 9,515,722,338,462,096/41,381,850
  6. Step 6: Final answer
    x = 229,949,176.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.