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Finding the Third Proportional to 11,642,388 and 24,491,244

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Solution

The third proportional to 11,642,388 and 24,491,244 is: 51,520,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642,388 : 24,491,244 = 24,491,244 : x
  2. Step 2: Convert to fraction form
    11,642,388/24,491,244 = 24,491,244/x
  3. Step 3: Cross multiply
    11,642,388x = 24,491,244 × 24,491,244
  4. Step 4: Simplify right side
    11,642,388x = 599,821,032,667,536
  5. Step 5: Solve for x
    x = 599,821,032,667,536/11,642,388
  6. Step 6: Final answer
    x = 51,520,446.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.