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Finding the Third Proportional to 5,227,877.50 and 11,324,267

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Solution

The third proportional to 5,227,877.50 and 11,324,267 is: 24,529,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227,877.50 : 11,324,267 = 11,324,267 : x
  2. Step 2: Convert to fraction form
    5,227,877.50/11,324,267 = 11,324,267/x
  3. Step 3: Cross multiply
    5,227,877.50x = 11,324,267 × 11,324,267
  4. Step 4: Simplify right side
    5,227,877.50x = 128,239,023,087,289
  5. Step 5: Solve for x
    x = 128,239,023,087,289/5,227,877.50
  6. Step 6: Final answer
    x = 24,529,844.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.