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Finding the Third Proportional to 11,241,726 and 24,188,496

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Solution

The third proportional to 11,241,726 and 24,188,496 is: 52,045,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241,726 : 24,188,496 = 24,188,496 : x
  2. Step 2: Convert to fraction form
    11,241,726/24,188,496 = 24,188,496/x
  3. Step 3: Cross multiply
    11,241,726x = 24,188,496 × 24,188,496
  4. Step 4: Simplify right side
    11,241,726x = 585,083,338,742,016
  5. Step 5: Solve for x
    x = 585,083,338,742,016/11,241,726
  6. Step 6: Final answer
    x = 52,045,685.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.