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Finding the Third Proportional to 8,324,977 and 16,879,607

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Solution

The third proportional to 8,324,977 and 16,879,607 is: 34,224,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324,977 : 16,879,607 = 16,879,607 : x
  2. Step 2: Convert to fraction form
    8,324,977/16,879,607 = 16,879,607/x
  3. Step 3: Cross multiply
    8,324,977x = 16,879,607 × 16,879,607
  4. Step 4: Simplify right side
    8,324,977x = 284,921,132,474,449
  5. Step 5: Solve for x
    x = 284,921,132,474,449/8,324,977
  6. Step 6: Final answer
    x = 34,224,855.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.