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Finding the Third Proportional to 14,225,589 and 31,149,450

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Solution

The third proportional to 14,225,589 and 31,149,450 is: 68,207,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,225,589 : 31,149,450 = 31,149,450 : x
  2. Step 2: Convert to fraction form
    14,225,589/31,149,450 = 31,149,450/x
  3. Step 3: Cross multiply
    14,225,589x = 31,149,450 × 31,149,450
  4. Step 4: Simplify right side
    14,225,589x = 970,288,235,302,500
  5. Step 5: Solve for x
    x = 970,288,235,302,500/14,225,589
  6. Step 6: Final answer
    x = 68,207,245.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.