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Finding the Third Proportional to 3,987,216 and 8,496,384

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Solution

The third proportional to 3,987,216 and 8,496,384 is: 18,104,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987,216 : 8,496,384 = 8,496,384 : x
  2. Step 2: Convert to fraction form
    3,987,216/8,496,384 = 8,496,384/x
  3. Step 3: Cross multiply
    3,987,216x = 8,496,384 × 8,496,384
  4. Step 4: Simplify right side
    3,987,216x = 72,188,541,075,456
  5. Step 5: Solve for x
    x = 72,188,541,075,456/3,987,216
  6. Step 6: Final answer
    x = 18,104,998.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.