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Finding the Third Proportional to 7,876,508 and 11,801,646

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Solution

The third proportional to 7,876,508 and 11,801,646 is: 17,682,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876,508 : 11,801,646 = 11,801,646 : x
  2. Step 2: Convert to fraction form
    7,876,508/11,801,646 = 11,801,646/x
  3. Step 3: Cross multiply
    7,876,508x = 11,801,646 × 11,801,646
  4. Step 4: Simplify right side
    7,876,508x = 139,278,848,309,316
  5. Step 5: Solve for x
    x = 139,278,848,309,316/7,876,508
  6. Step 6: Final answer
    x = 17,682,816.84

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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.