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Finding the Third Proportional to 2,002,104 and 4,724,142.75

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Solution

The third proportional to 2,002,104 and 4,724,142.75 is: 11,147,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,104 : 4,724,142.75 = 4,724,142.75 : x
  2. Step 2: Convert to fraction form
    2,002,104/4,724,142.75 = 4,724,142.75/x
  3. Step 3: Cross multiply
    2,002,104x = 4,724,142.75 × 4,724,142.75
  4. Step 4: Simplify right side
    2,002,104x = 22,317,524,722,377.56
  5. Step 5: Solve for x
    x = 22,317,524,722,377.56/2,002,104
  6. Step 6: Final answer
    x = 11,147,035.68

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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.