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Finding the Third Proportional to 3,564,107 and 5,149,520.50

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Solution

The third proportional to 3,564,107 and 5,149,520.50 is: 7,440,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564,107 : 5,149,520.50 = 5,149,520.50 : x
  2. Step 2: Convert to fraction form
    3,564,107/5,149,520.50 = 5,149,520.50/x
  3. Step 3: Cross multiply
    3,564,107x = 5,149,520.50 × 5,149,520.50
  4. Step 4: Simplify right side
    3,564,107x = 26,517,561,379,920.25
  5. Step 5: Solve for x
    x = 26,517,561,379,920.25/3,564,107
  6. Step 6: Final answer
    x = 7,440,169.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.