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Finding the Third Proportional to 3,785,978 and 8,214,124

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Solution

The third proportional to 3,785,978 and 8,214,124 is: 17,821,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,978 : 8,214,124 = 8,214,124 : x
  2. Step 2: Convert to fraction form
    3,785,978/8,214,124 = 8,214,124/x
  3. Step 3: Cross multiply
    3,785,978x = 8,214,124 × 8,214,124
  4. Step 4: Simplify right side
    3,785,978x = 67,471,833,087,376
  5. Step 5: Solve for x
    x = 67,471,833,087,376/3,785,978
  6. Step 6: Final answer
    x = 17,821,506.91

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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.