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Finding the Third Proportional to 2,002,087.13 and 4,724,112.38

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Solution

The third proportional to 2,002,087.13 and 4,724,112.38 is: 11,146,986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,087.13 : 4,724,112.38 = 4,724,112.38 : x
  2. Step 2: Convert to fraction form
    2,002,087.13/4,724,112.38 = 4,724,112.38/x
  3. Step 3: Cross multiply
    2,002,087.13x = 4,724,112.38 × 4,724,112.38
  4. Step 4: Simplify right side
    2,002,087.13x = 22,317,237,731,628.14
  5. Step 5: Solve for x
    x = 22,317,237,731,628.14/2,002,087.13
  6. Step 6: Final answer
    x = 11,146,986.29

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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.