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Finding the Third Proportional to 5,237,840 and 11,449,624

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Solution

The third proportional to 5,237,840 and 11,449,624 is: 25,028,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237,840 : 11,449,624 = 11,449,624 : x
  2. Step 2: Convert to fraction form
    5,237,840/11,449,624 = 11,449,624/x
  3. Step 3: Cross multiply
    5,237,840x = 11,449,624 × 11,449,624
  4. Step 4: Simplify right side
    5,237,840x = 131,093,889,741,376
  5. Step 5: Solve for x
    x = 131,093,889,741,376/5,237,840
  6. Step 6: Final answer
    x = 25,028,234.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.