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Finding the Third Proportional to 3,785,877 and 8,213,916

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Solution

The third proportional to 3,785,877 and 8,213,916 is: 17,821,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,877 : 8,213,916 = 8,213,916 : x
  2. Step 2: Convert to fraction form
    3,785,877/8,213,916 = 8,213,916/x
  3. Step 3: Cross multiply
    3,785,877x = 8,213,916 × 8,213,916
  4. Step 4: Simplify right side
    3,785,877x = 67,468,416,055,056
  5. Step 5: Solve for x
    x = 67,468,416,055,056/3,785,877
  6. Step 6: Final answer
    x = 17,821,079.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.