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Finding the Third Proportional to 11,867,408 and 24,363,943

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Solution

The third proportional to 11,867,408 and 24,363,943 is: 50,019,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867,408 : 24,363,943 = 24,363,943 : x
  2. Step 2: Convert to fraction form
    11,867,408/24,363,943 = 24,363,943/x
  3. Step 3: Cross multiply
    11,867,408x = 24,363,943 × 24,363,943
  4. Step 4: Simplify right side
    11,867,408x = 593,601,718,507,249
  5. Step 5: Solve for x
    x = 593,601,718,507,249/11,867,408
  6. Step 6: Final answer
    x = 50,019,491.91

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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.