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Finding the Third Proportional to 13,933,992 and 20,491,224

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Solution

The third proportional to 13,933,992 and 20,491,224 is: 30,134,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,933,992 : 20,491,224 = 20,491,224 : x
  2. Step 2: Convert to fraction form
    13,933,992/20,491,224 = 20,491,224/x
  3. Step 3: Cross multiply
    13,933,992x = 20,491,224 × 20,491,224
  4. Step 4: Simplify right side
    13,933,992x = 419,890,261,018,176
  5. Step 5: Solve for x
    x = 419,890,261,018,176/13,933,992
  6. Step 6: Final answer
    x = 30,134,240.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.