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Finding the Third Proportional to 5,165,534 and 11,261,137

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Solution

The third proportional to 5,165,534 and 11,261,137 is: 24,549,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165,534 : 11,261,137 = 11,261,137 : x
  2. Step 2: Convert to fraction form
    5,165,534/11,261,137 = 11,261,137/x
  3. Step 3: Cross multiply
    5,165,534x = 11,261,137 × 11,261,137
  4. Step 4: Simplify right side
    5,165,534x = 126,813,206,532,769
  5. Step 5: Solve for x
    x = 126,813,206,532,769/5,165,534
  6. Step 6: Final answer
    x = 24,549,873.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.