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Finding the Third Proportional to 11,867,398 and 24,363,923

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Solution

The third proportional to 11,867,398 and 24,363,923 is: 50,019,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867,398 : 24,363,923 = 24,363,923 : x
  2. Step 2: Convert to fraction form
    11,867,398/24,363,923 = 24,363,923/x
  3. Step 3: Cross multiply
    11,867,398x = 24,363,923 × 24,363,923
  4. Step 4: Simplify right side
    11,867,398x = 593,600,743,949,929
  5. Step 5: Solve for x
    x = 593,600,743,949,929/11,867,398
  6. Step 6: Final answer
    x = 50,019,451.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.