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Finding the Third Proportional to 5,227,825 and 11,324,162

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Solution

The third proportional to 5,227,825 and 11,324,162 is: 24,529,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227,825 : 11,324,162 = 11,324,162 : x
  2. Step 2: Convert to fraction form
    5,227,825/11,324,162 = 11,324,162/x
  3. Step 3: Cross multiply
    5,227,825x = 11,324,162 × 11,324,162
  4. Step 4: Simplify right side
    5,227,825x = 128,236,645,002,244
  5. Step 5: Solve for x
    x = 128,236,645,002,244/5,227,825
  6. Step 6: Final answer
    x = 24,529,636.13

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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.