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Finding the Third Proportional to 8,005,926 and 11,797,137

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Solution

The third proportional to 8,005,926 and 11,797,137 is: 17,383,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005,926 : 11,797,137 = 11,797,137 : x
  2. Step 2: Convert to fraction form
    8,005,926/11,797,137 = 11,797,137/x
  3. Step 3: Cross multiply
    8,005,926x = 11,797,137 × 11,797,137
  4. Step 4: Simplify right side
    8,005,926x = 139,172,441,396,769
  5. Step 5: Solve for x
    x = 139,172,441,396,769/8,005,926
  6. Step 6: Final answer
    x = 17,383,678.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.