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Finding the Third Proportional to 41,209,461 and 81,381,744

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Solution

The third proportional to 41,209,461 and 81,381,744 is: 160,715,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,209,461 : 81,381,744 = 81,381,744 : x
  2. Step 2: Convert to fraction form
    41,209,461/81,381,744 = 81,381,744/x
  3. Step 3: Cross multiply
    41,209,461x = 81,381,744 × 81,381,744
  4. Step 4: Simplify right side
    41,209,461x = 6,622,988,256,481,536
  5. Step 5: Solve for x
    x = 6,622,988,256,481,536/41,209,461
  6. Step 6: Final answer
    x = 160,715,236.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.