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Finding the Third Proportional to 11,867,403 and 24,363,932

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Solution

The third proportional to 11,867,403 and 24,363,932 is: 50,019,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867,403 : 24,363,932 = 24,363,932 : x
  2. Step 2: Convert to fraction form
    11,867,403/24,363,932 = 24,363,932/x
  3. Step 3: Cross multiply
    11,867,403x = 24,363,932 × 24,363,932
  4. Step 4: Simplify right side
    11,867,403x = 593,601,182,500,624
  5. Step 5: Solve for x
    x = 593,601,182,500,624/11,867,403
  6. Step 6: Final answer
    x = 50,019,467.82

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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.