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Finding the Third Proportional to 3,745,661.50 and 5,608,240.50

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Solution

The third proportional to 3,745,661.50 and 5,608,240.50 is: 8,397,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745,661.50 : 5,608,240.50 = 5,608,240.50 : x
  2. Step 2: Convert to fraction form
    3,745,661.50/5,608,240.50 = 5,608,240.50/x
  3. Step 3: Cross multiply
    3,745,661.50x = 5,608,240.50 × 5,608,240.50
  4. Step 4: Simplify right side
    3,745,661.50x = 31,452,361,505,840.25
  5. Step 5: Solve for x
    x = 31,452,361,505,840.25/3,745,661.50
  6. Step 6: Final answer
    x = 8,397,011.18

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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.