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Finding the Third Proportional to 8,078,856 and 17,677,921

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Solution

The third proportional to 8,078,856 and 17,677,921 is: 38,682,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078,856 : 17,677,921 = 17,677,921 : x
  2. Step 2: Convert to fraction form
    8,078,856/17,677,921 = 17,677,921/x
  3. Step 3: Cross multiply
    8,078,856x = 17,677,921 × 17,677,921
  4. Step 4: Simplify right side
    8,078,856x = 312,508,890,882,241
  5. Step 5: Solve for x
    x = 312,508,890,882,241/8,078,856
  6. Step 6: Final answer
    x = 38,682,319.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.