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Finding the Third Proportional to 5,267,636 and 11,541,876

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Solution

The third proportional to 5,267,636 and 11,541,876 is: 25,289,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267,636 : 11,541,876 = 11,541,876 : x
  2. Step 2: Convert to fraction form
    5,267,636/11,541,876 = 11,541,876/x
  3. Step 3: Cross multiply
    5,267,636x = 11,541,876 × 11,541,876
  4. Step 4: Simplify right side
    5,267,636x = 133,214,901,599,376
  5. Step 5: Solve for x
    x = 133,214,901,599,376/5,267,636
  6. Step 6: Final answer
    x = 25,289,314.14

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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.