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Finding the Third Proportional to 5,199,109 and 8,082,199

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Solution

The third proportional to 5,199,109 and 8,082,199 is: 12,564,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199,109 : 8,082,199 = 8,082,199 : x
  2. Step 2: Convert to fraction form
    5,199,109/8,082,199 = 8,082,199/x
  3. Step 3: Cross multiply
    5,199,109x = 8,082,199 × 8,082,199
  4. Step 4: Simplify right side
    5,199,109x = 65,321,940,675,601
  5. Step 5: Solve for x
    x = 65,321,940,675,601/5,199,109
  6. Step 6: Final answer
    x = 12,564,064.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.