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Finding the Third Proportional to 5,165,528 and 11,261,126

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Solution

The third proportional to 5,165,528 and 11,261,126 is: 24,549,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165,528 : 11,261,126 = 11,261,126 : x
  2. Step 2: Convert to fraction form
    5,165,528/11,261,126 = 11,261,126/x
  3. Step 3: Cross multiply
    5,165,528x = 11,261,126 × 11,261,126
  4. Step 4: Simplify right side
    5,165,528x = 126,812,958,787,876
  5. Step 5: Solve for x
    x = 126,812,958,787,876/5,165,528
  6. Step 6: Final answer
    x = 24,549,854.11

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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.