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Finding the Third Proportional to 24,712,351 and 51,469,991

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Solution

The third proportional to 24,712,351 and 51,469,991 is: 107,199,835.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712,351 : 51,469,991 = 51,469,991 : x
  2. Step 2: Convert to fraction form
    24,712,351/51,469,991 = 51,469,991/x
  3. Step 3: Cross multiply
    24,712,351x = 51,469,991 × 51,469,991
  4. Step 4: Simplify right side
    24,712,351x = 2,649,159,973,540,081
  5. Step 5: Solve for x
    x = 2,649,159,973,540,081/24,712,351
  6. Step 6: Final answer
    x = 107,199,835.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.