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Finding the Third Proportional to 4,003,728.75 and 9,447,327

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Solution

The third proportional to 4,003,728.75 and 9,447,327 is: 22,292,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003,728.75 : 9,447,327 = 9,447,327 : x
  2. Step 2: Convert to fraction form
    4,003,728.75/9,447,327 = 9,447,327/x
  3. Step 3: Cross multiply
    4,003,728.75x = 9,447,327 × 9,447,327
  4. Step 4: Simplify right side
    4,003,728.75x = 89,251,987,444,929
  5. Step 5: Solve for x
    x = 89,251,987,444,929/4,003,728.75
  6. Step 6: Final answer
    x = 22,292,216.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.