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Finding the Third Proportional to 11,431,084.50 and 24,656,940

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Solution

The third proportional to 11,431,084.50 and 24,656,940 is: 53,185,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431,084.50 : 24,656,940 = 24,656,940 : x
  2. Step 2: Convert to fraction form
    11,431,084.50/24,656,940 = 24,656,940/x
  3. Step 3: Cross multiply
    11,431,084.50x = 24,656,940 × 24,656,940
  4. Step 4: Simplify right side
    11,431,084.50x = 607,964,690,163,600
  5. Step 5: Solve for x
    x = 607,964,690,163,600/11,431,084.50
  6. Step 6: Final answer
    x = 53,185,215.29

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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.