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Finding the Third Proportional to 51,149,822 and 109,595,474

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Solution

The third proportional to 51,149,822 and 109,595,474 is: 234,823,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,149,822 : 109,595,474 = 109,595,474 : x
  2. Step 2: Convert to fraction form
    51,149,822/109,595,474 = 109,595,474/x
  3. Step 3: Cross multiply
    51,149,822x = 109,595,474 × 109,595,474
  4. Step 4: Simplify right side
    51,149,822x = 12,011,167,921,284,676
  5. Step 5: Solve for x
    x = 12,011,167,921,284,676/51,149,822
  6. Step 6: Final answer
    x = 234,823,259.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.