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Finding the Third Proportional to 5,470,914 and 12,665,245

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Solution

The third proportional to 5,470,914 and 12,665,245 is: 29,320,225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,914 : 12,665,245 = 12,665,245 : x
  2. Step 2: Convert to fraction form
    5,470,914/12,665,245 = 12,665,245/x
  3. Step 3: Cross multiply
    5,470,914x = 12,665,245 × 12,665,245
  4. Step 4: Simplify right side
    5,470,914x = 160,408,430,910,025
  5. Step 5: Solve for x
    x = 160,408,430,910,025/5,470,914
  6. Step 6: Final answer
    x = 29,320,225.27

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.