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Finding the Third Proportional to 3,297,773.25 and 7,266,408.75

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Solution

The third proportional to 3,297,773.25 and 7,266,408.75 is: 16,011,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297,773.25 : 7,266,408.75 = 7,266,408.75 : x
  2. Step 2: Convert to fraction form
    3,297,773.25/7,266,408.75 = 7,266,408.75/x
  3. Step 3: Cross multiply
    3,297,773.25x = 7,266,408.75 × 7,266,408.75
  4. Step 4: Simplify right side
    3,297,773.25x = 52,800,696,122,076.56
  5. Step 5: Solve for x
    x = 52,800,696,122,076.56/3,297,773.25
  6. Step 6: Final answer
    x = 16,011,014.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.