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Finding the Third Proportional to 11,219,884 and 24,234,080

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Solution

The third proportional to 11,219,884 and 24,234,080 is: 52,343,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219,884 : 24,234,080 = 24,234,080 : x
  2. Step 2: Convert to fraction form
    11,219,884/24,234,080 = 24,234,080/x
  3. Step 3: Cross multiply
    11,219,884x = 24,234,080 × 24,234,080
  4. Step 4: Simplify right side
    11,219,884x = 587,290,633,446,400
  5. Step 5: Solve for x
    x = 587,290,633,446,400/11,219,884
  6. Step 6: Final answer
    x = 52,343,734.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.