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Finding the Third Proportional to 8,022,914 and 16,709,380

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Solution

The third proportional to 8,022,914 and 16,709,380 is: 34,800,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022,914 : 16,709,380 = 16,709,380 : x
  2. Step 2: Convert to fraction form
    8,022,914/16,709,380 = 16,709,380/x
  3. Step 3: Cross multiply
    8,022,914x = 16,709,380 × 16,709,380
  4. Step 4: Simplify right side
    8,022,914x = 279,203,379,984,400
  5. Step 5: Solve for x
    x = 279,203,379,984,400/8,022,914
  6. Step 6: Final answer
    x = 34,800,744.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.