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Finding the Third Proportional to 4,189,782.75 and 8,999,625

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Solution

The third proportional to 4,189,782.75 and 8,999,625 is: 19,331,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189,782.75 : 8,999,625 = 8,999,625 : x
  2. Step 2: Convert to fraction form
    4,189,782.75/8,999,625 = 8,999,625/x
  3. Step 3: Cross multiply
    4,189,782.75x = 8,999,625 × 8,999,625
  4. Step 4: Simplify right side
    4,189,782.75x = 80,993,250,140,625
  5. Step 5: Solve for x
    x = 80,993,250,140,625/4,189,782.75
  6. Step 6: Final answer
    x = 19,331,133.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.