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Finding the Third Proportional to 4,665,717 and 6,671,982.75

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Solution

The third proportional to 4,665,717 and 6,671,982.75 is: 9,540,945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665,717 : 6,671,982.75 = 6,671,982.75 : x
  2. Step 2: Convert to fraction form
    4,665,717/6,671,982.75 = 6,671,982.75/x
  3. Step 3: Cross multiply
    4,665,717x = 6,671,982.75 × 6,671,982.75
  4. Step 4: Simplify right side
    4,665,717x = 44,515,353,816,297.56
  5. Step 5: Solve for x
    x = 44,515,353,816,297.56/4,665,717
  6. Step 6: Final answer
    x = 9,540,945.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.