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Finding the Third Proportional to 11,867,407 and 24,363,941

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Solution

The third proportional to 11,867,407 and 24,363,941 is: 50,019,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867,407 : 24,363,941 = 24,363,941 : x
  2. Step 2: Convert to fraction form
    11,867,407/24,363,941 = 24,363,941/x
  3. Step 3: Cross multiply
    11,867,407x = 24,363,941 × 24,363,941
  4. Step 4: Simplify right side
    11,867,407x = 593,601,621,051,481
  5. Step 5: Solve for x
    x = 593,601,621,051,481/11,867,407
  6. Step 6: Final answer
    x = 50,019,487.92

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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.