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Finding the Third Proportional to 3,682,305.56 and 8,002,001.81

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Solution

The third proportional to 3,682,305.56 and 8,002,001.81 is: 17,389,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682,305.56 : 8,002,001.81 = 8,002,001.81 : x
  2. Step 2: Convert to fraction form
    3,682,305.56/8,002,001.81 = 8,002,001.81/x
  3. Step 3: Cross multiply
    3,682,305.56x = 8,002,001.81 × 8,002,001.81
  4. Step 4: Simplify right side
    3,682,305.56x = 64,032,033,007,253.28
  5. Step 5: Solve for x
    x = 64,032,033,007,253.28/3,682,305.56
  6. Step 6: Final answer
    x = 17,389,114.49

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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.