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Finding the Third Proportional to 11,431,073 and 24,656,917

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Solution

The third proportional to 11,431,073 and 24,656,917 is: 53,185,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431,073 : 24,656,917 = 24,656,917 : x
  2. Step 2: Convert to fraction form
    11,431,073/24,656,917 = 24,656,917/x
  3. Step 3: Cross multiply
    11,431,073x = 24,656,917 × 24,656,917
  4. Step 4: Simplify right side
    11,431,073x = 607,963,555,944,889
  5. Step 5: Solve for x
    x = 607,963,555,944,889/11,431,073
  6. Step 6: Final answer
    x = 53,185,169.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.