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Finding the Third Proportional to 3,826,450.13 and 8,325,463.50

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Solution

The third proportional to 3,826,450.13 and 8,325,463.50 is: 18,114,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,450.13 : 8,325,463.50 = 8,325,463.50 : x
  2. Step 2: Convert to fraction form
    3,826,450.13/8,325,463.50 = 8,325,463.50/x
  3. Step 3: Cross multiply
    3,826,450.13x = 8,325,463.50 × 8,325,463.50
  4. Step 4: Simplify right side
    3,826,450.13x = 69,313,342,489,832.25
  5. Step 5: Solve for x
    x = 69,313,342,489,832.25/3,826,450.13
  6. Step 6: Final answer
    x = 18,114,267.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.