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Finding the Third Proportional to 6,467,194.50 and 10,145,104.50

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Solution

The third proportional to 6,467,194.50 and 10,145,104.50 is: 15,914,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,194.50 : 10,145,104.50 = 10,145,104.50 : x
  2. Step 2: Convert to fraction form
    6,467,194.50/10,145,104.50 = 10,145,104.50/x
  3. Step 3: Cross multiply
    6,467,194.50x = 10,145,104.50 × 10,145,104.50
  4. Step 4: Simplify right side
    6,467,194.50x = 102,923,145,315,920.25
  5. Step 5: Solve for x
    x = 102,923,145,315,920.25/6,467,194.50
  6. Step 6: Final answer
    x = 15,914,651.29

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.