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Finding the Third Proportional to 6,505,942.50 and 14,288,865.75

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Solution

The third proportional to 6,505,942.50 and 14,288,865.75 is: 31,382,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505,942.50 : 14,288,865.75 = 14,288,865.75 : x
  2. Step 2: Convert to fraction form
    6,505,942.50/14,288,865.75 = 14,288,865.75/x
  3. Step 3: Cross multiply
    6,505,942.50x = 14,288,865.75 × 14,288,865.75
  4. Step 4: Simplify right side
    6,505,942.50x = 204,171,684,421,523.06
  5. Step 5: Solve for x
    x = 204,171,684,421,523.06/6,505,942.50
  6. Step 6: Final answer
    x = 31,382,337.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.