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Finding the Third Proportional to 11,021,876 and 23,354,920

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Solution

The third proportional to 11,021,876 and 23,354,920 is: 49,488,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021,876 : 23,354,920 = 23,354,920 : x
  2. Step 2: Convert to fraction form
    11,021,876/23,354,920 = 23,354,920/x
  3. Step 3: Cross multiply
    11,021,876x = 23,354,920 × 23,354,920
  4. Step 4: Simplify right side
    11,021,876x = 545,452,288,206,400
  5. Step 5: Solve for x
    x = 545,452,288,206,400/11,021,876
  6. Step 6: Final answer
    x = 49,488,153.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.