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Finding the Third Proportional to 11,867,424 and 24,363,972

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Solution

The third proportional to 11,867,424 and 24,363,972 is: 50,019,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867,424 : 24,363,972 = 24,363,972 : x
  2. Step 2: Convert to fraction form
    11,867,424/24,363,972 = 24,363,972/x
  3. Step 3: Cross multiply
    11,867,424x = 24,363,972 × 24,363,972
  4. Step 4: Simplify right side
    11,867,424x = 593,603,131,616,784
  5. Step 5: Solve for x
    x = 593,603,131,616,784/11,867,424
  6. Step 6: Final answer
    x = 50,019,543.55

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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.