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Finding the Third Proportional to 3,837,571.50 and 8,396,169.56

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Solution

The third proportional to 3,837,571.50 and 8,396,169.56 is: 18,369,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837,571.50 : 8,396,169.56 = 8,396,169.56 : x
  2. Step 2: Convert to fraction form
    3,837,571.50/8,396,169.56 = 8,396,169.56/x
  3. Step 3: Cross multiply
    3,837,571.50x = 8,396,169.56 × 8,396,169.56
  4. Step 4: Simplify right side
    3,837,571.50x = 70,495,663,322,251.44
  5. Step 5: Solve for x
    x = 70,495,663,322,251.44/3,837,571.50
  6. Step 6: Final answer
    x = 18,369,863.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.