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Finding the Third Proportional to 11,502,074 and 24,619,876

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Solution

The third proportional to 11,502,074 and 24,619,876 is: 52,698,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502,074 : 24,619,876 = 24,619,876 : x
  2. Step 2: Convert to fraction form
    11,502,074/24,619,876 = 24,619,876/x
  3. Step 3: Cross multiply
    11,502,074x = 24,619,876 × 24,619,876
  4. Step 4: Simplify right side
    11,502,074x = 606,138,294,255,376
  5. Step 5: Solve for x
    x = 606,138,294,255,376/11,502,074
  6. Step 6: Final answer
    x = 52,698,173.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.