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Finding the Third Proportional to 11,102,974.50 and 24,758,880

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Solution

The third proportional to 11,102,974.50 and 24,758,880 is: 55,210,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102,974.50 : 24,758,880 = 24,758,880 : x
  2. Step 2: Convert to fraction form
    11,102,974.50/24,758,880 = 24,758,880/x
  3. Step 3: Cross multiply
    11,102,974.50x = 24,758,880 × 24,758,880
  4. Step 4: Simplify right side
    11,102,974.50x = 613,002,138,854,400
  5. Step 5: Solve for x
    x = 613,002,138,854,400/11,102,974.50
  6. Step 6: Final answer
    x = 55,210,622.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.