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Finding the Third Proportional to 3,785,977 and 8,214,122

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Solution

The third proportional to 3,785,977 and 8,214,122 is: 17,821,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,977 : 8,214,122 = 8,214,122 : x
  2. Step 2: Convert to fraction form
    3,785,977/8,214,122 = 8,214,122/x
  3. Step 3: Cross multiply
    3,785,977x = 8,214,122 × 8,214,122
  4. Step 4: Simplify right side
    3,785,977x = 67,471,800,230,884
  5. Step 5: Solve for x
    x = 67,471,800,230,884/3,785,977
  6. Step 6: Final answer
    x = 17,821,502.94

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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.