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Finding the Third Proportional to 11,731,812 and 17,177,718

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Solution

The third proportional to 11,731,812 and 17,177,718 is: 25,151,613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731,812 : 17,177,718 = 17,177,718 : x
  2. Step 2: Convert to fraction form
    11,731,812/17,177,718 = 17,177,718/x
  3. Step 3: Cross multiply
    11,731,812x = 17,177,718 × 17,177,718
  4. Step 4: Simplify right side
    11,731,812x = 295,073,995,687,524
  5. Step 5: Solve for x
    x = 295,073,995,687,524/11,731,812
  6. Step 6: Final answer
    x = 25,151,613.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.