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Finding the Third Proportional to 3,833,998 and 8,206,568

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Solution

The third proportional to 3,833,998 and 8,206,568 is: 17,565,934.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833,998 : 8,206,568 = 8,206,568 : x
  2. Step 2: Convert to fraction form
    3,833,998/8,206,568 = 8,206,568/x
  3. Step 3: Cross multiply
    3,833,998x = 8,206,568 × 8,206,568
  4. Step 4: Simplify right side
    3,833,998x = 67,347,758,338,624
  5. Step 5: Solve for x
    x = 67,347,758,338,624/3,833,998
  6. Step 6: Final answer
    x = 17,565,934.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.