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Finding the Third Proportional to 3,682,313 and 8,002,016

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Solution

The third proportional to 3,682,313 and 8,002,016 is: 17,389,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682,313 : 8,002,016 = 8,002,016 : x
  2. Step 2: Convert to fraction form
    3,682,313/8,002,016 = 8,002,016/x
  3. Step 3: Cross multiply
    3,682,313x = 8,002,016 × 8,002,016
  4. Step 4: Simplify right side
    3,682,313x = 64,032,260,064,256
  5. Step 5: Solve for x
    x = 64,032,260,064,256/3,682,313
  6. Step 6: Final answer
    x = 17,389,141.03

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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.