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Finding the Third Proportional to 3,833,885.25 and 8,206,440.75

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Solution

The third proportional to 3,833,885.25 and 8,206,440.75 is: 17,565,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833,885.25 : 8,206,440.75 = 8,206,440.75 : x
  2. Step 2: Convert to fraction form
    3,833,885.25/8,206,440.75 = 8,206,440.75/x
  3. Step 3: Cross multiply
    3,833,885.25x = 8,206,440.75 × 8,206,440.75
  4. Step 4: Simplify right side
    3,833,885.25x = 67,345,669,783,260.56
  5. Step 5: Solve for x
    x = 67,345,669,783,260.56/3,833,885.25
  6. Step 6: Final answer
    x = 17,565,906.49

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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.