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Finding the Third Proportional to 14,224,923 and 20,327,105.25

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Solution

The third proportional to 14,224,923 and 20,327,105.25 is: 29,046,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224,923 : 20,327,105.25 = 20,327,105.25 : x
  2. Step 2: Convert to fraction form
    14,224,923/20,327,105.25 = 20,327,105.25/x
  3. Step 3: Cross multiply
    14,224,923x = 20,327,105.25 × 20,327,105.25
  4. Step 4: Simplify right side
    14,224,923x = 413,191,207,844,577.56
  5. Step 5: Solve for x
    x = 413,191,207,844,577.56/14,224,923
  6. Step 6: Final answer
    x = 29,046,990.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.