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Finding the Third Proportional to 3,826,309.50 and 8,399,020.50

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Solution

The third proportional to 3,826,309.50 and 8,399,020.50 is: 18,436,445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,309.50 : 8,399,020.50 = 8,399,020.50 : x
  2. Step 2: Convert to fraction form
    3,826,309.50/8,399,020.50 = 8,399,020.50/x
  3. Step 3: Cross multiply
    3,826,309.50x = 8,399,020.50 × 8,399,020.50
  4. Step 4: Simplify right side
    3,826,309.50x = 70,543,545,359,420.25
  5. Step 5: Solve for x
    x = 70,543,545,359,420.25/3,826,309.50
  6. Step 6: Final answer
    x = 18,436,445.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.