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Finding the Third Proportional to 2,736,229.50 and 5,997,825

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Solution

The third proportional to 2,736,229.50 and 5,997,825 is: 13,147,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736,229.50 : 5,997,825 = 5,997,825 : x
  2. Step 2: Convert to fraction form
    2,736,229.50/5,997,825 = 5,997,825/x
  3. Step 3: Cross multiply
    2,736,229.50x = 5,997,825 × 5,997,825
  4. Step 4: Simplify right side
    2,736,229.50x = 35,973,904,730,625
  5. Step 5: Solve for x
    x = 35,973,904,730,625/2,736,229.50
  6. Step 6: Final answer
    x = 13,147,254.18

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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.