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Finding the Third Proportional to 8,182,356.75 and 12,273,535.13

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Solution

The third proportional to 8,182,356.75 and 12,273,535.13 is: 18,410,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182,356.75 : 12,273,535.13 = 12,273,535.13 : x
  2. Step 2: Convert to fraction form
    8,182,356.75/12,273,535.13 = 12,273,535.13/x
  3. Step 3: Cross multiply
    8,182,356.75x = 12,273,535.13 × 12,273,535.13
  4. Step 4: Simplify right side
    8,182,356.75x = 150,639,664,464,608.75
  5. Step 5: Solve for x
    x = 150,639,664,464,608.75/8,182,356.75
  6. Step 6: Final answer
    x = 18,410,302.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.