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Finding the Third Proportional to 5,227,821 and 11,324,154

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Solution

The third proportional to 5,227,821 and 11,324,154 is: 24,529,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227,821 : 11,324,154 = 11,324,154 : x
  2. Step 2: Convert to fraction form
    5,227,821/11,324,154 = 11,324,154/x
  3. Step 3: Cross multiply
    5,227,821x = 11,324,154 × 11,324,154
  4. Step 4: Simplify right side
    5,227,821x = 128,236,463,815,716
  5. Step 5: Solve for x
    x = 128,236,463,815,716/5,227,821
  6. Step 6: Final answer
    x = 24,529,620.24

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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.