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Finding the Third Proportional to 4,467,978 and 6,904,162.50

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Solution

The third proportional to 4,467,978 and 6,904,162.50 is: 10,668,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467,978 : 6,904,162.50 = 6,904,162.50 : x
  2. Step 2: Convert to fraction form
    4,467,978/6,904,162.50 = 6,904,162.50/x
  3. Step 3: Cross multiply
    4,467,978x = 6,904,162.50 × 6,904,162.50
  4. Step 4: Simplify right side
    4,467,978x = 47,667,459,826,406.25
  5. Step 5: Solve for x
    x = 47,667,459,826,406.25/4,467,978
  6. Step 6: Final answer
    x = 10,668,687.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.