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Finding the Third Proportional to 5,227,830 and 11,324,170

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Solution

The third proportional to 5,227,830 and 11,324,170 is: 24,529,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227,830 : 11,324,170 = 11,324,170 : x
  2. Step 2: Convert to fraction form
    5,227,830/11,324,170 = 11,324,170/x
  3. Step 3: Cross multiply
    5,227,830x = 11,324,170 × 11,324,170
  4. Step 4: Simplify right side
    5,227,830x = 128,236,826,188,900
  5. Step 5: Solve for x
    x = 128,236,826,188,900/5,227,830
  6. Step 6: Final answer
    x = 24,529,647.33

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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.