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Finding the Third Proportional to 3,826,873.50 and 8,262,517.50

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Solution

The third proportional to 3,826,873.50 and 8,262,517.50 is: 17,839,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,873.50 : 8,262,517.50 = 8,262,517.50 : x
  2. Step 2: Convert to fraction form
    3,826,873.50/8,262,517.50 = 8,262,517.50/x
  3. Step 3: Cross multiply
    3,826,873.50x = 8,262,517.50 × 8,262,517.50
  4. Step 4: Simplify right side
    3,826,873.50x = 68,269,195,437,806.25
  5. Step 5: Solve for x
    x = 68,269,195,437,806.25/3,826,873.50
  6. Step 6: Final answer
    x = 17,839,417.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.