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Finding the Third Proportional to 5,710,608 and 8,408,016

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Solution

The third proportional to 5,710,608 and 8,408,016 is: 12,379,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710,608 : 8,408,016 = 8,408,016 : x
  2. Step 2: Convert to fraction form
    5,710,608/8,408,016 = 8,408,016/x
  3. Step 3: Cross multiply
    5,710,608x = 8,408,016 × 8,408,016
  4. Step 4: Simplify right side
    5,710,608x = 70,694,733,056,256
  5. Step 5: Solve for x
    x = 70,694,733,056,256/5,710,608
  6. Step 6: Final answer
    x = 12,379,545.76

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