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Finding the Third Proportional to 11,867,398 and 24,363,922

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Solution

The third proportional to 11,867,398 and 24,363,922 is: 50,019,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867,398 : 24,363,922 = 24,363,922 : x
  2. Step 2: Convert to fraction form
    11,867,398/24,363,922 = 24,363,922/x
  3. Step 3: Cross multiply
    11,867,398x = 24,363,922 × 24,363,922
  4. Step 4: Simplify right side
    11,867,398x = 593,600,695,222,084
  5. Step 5: Solve for x
    x = 593,600,695,222,084/11,867,398
  6. Step 6: Final answer
    x = 50,019,447.84

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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.