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Finding the Third Proportional to 7,876,586 and 11,801,739

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Solution

The third proportional to 7,876,586 and 11,801,739 is: 17,682,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876,586 : 11,801,739 = 11,801,739 : x
  2. Step 2: Convert to fraction form
    7,876,586/11,801,739 = 11,801,739/x
  3. Step 3: Cross multiply
    7,876,586x = 11,801,739 × 11,801,739
  4. Step 4: Simplify right side
    7,876,586x = 139,281,043,424,121
  5. Step 5: Solve for x
    x = 139,281,043,424,121/7,876,586
  6. Step 6: Final answer
    x = 17,682,920.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.