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Finding the Third Proportional to 5,227,823 and 11,324,158

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Solution

The third proportional to 5,227,823 and 11,324,158 is: 24,529,628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227,823 : 11,324,158 = 11,324,158 : x
  2. Step 2: Convert to fraction form
    5,227,823/11,324,158 = 11,324,158/x
  3. Step 3: Cross multiply
    5,227,823x = 11,324,158 × 11,324,158
  4. Step 4: Simplify right side
    5,227,823x = 128,236,554,408,964
  5. Step 5: Solve for x
    x = 128,236,554,408,964/5,227,823
  6. Step 6: Final answer
    x = 24,529,628.19

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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.