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Finding the Third Proportional to 4,844,162 and 11,419,049

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Solution

The third proportional to 4,844,162 and 11,419,049 is: 26,917,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844,162 : 11,419,049 = 11,419,049 : x
  2. Step 2: Convert to fraction form
    4,844,162/11,419,049 = 11,419,049/x
  3. Step 3: Cross multiply
    4,844,162x = 11,419,049 × 11,419,049
  4. Step 4: Simplify right side
    4,844,162x = 130,394,680,064,401
  5. Step 5: Solve for x
    x = 130,394,680,064,401/4,844,162
  6. Step 6: Final answer
    x = 26,917,902.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.