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Finding the Third Proportional to 11,993,975 and 17,541,135

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Solution

The third proportional to 11,993,975 and 17,541,135 is: 25,653,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993,975 : 17,541,135 = 17,541,135 : x
  2. Step 2: Convert to fraction form
    11,993,975/17,541,135 = 17,541,135/x
  3. Step 3: Cross multiply
    11,993,975x = 17,541,135 × 17,541,135
  4. Step 4: Simplify right side
    11,993,975x = 307,691,417,088,225
  5. Step 5: Solve for x
    x = 307,691,417,088,225/11,993,975
  6. Step 6: Final answer
    x = 25,653,831.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.