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Finding the Third Proportional to 6,647,234,793.75 and 14,397,544,273.50

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Solution

The third proportional to 6,647,234,793.75 and 14,397,544,273.50 is: 31,184,287,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647,234,793.75 : 14,397,544,273.50 = 14,397,544,273.50 : x
  2. Step 2: Convert to fraction form
    6,647,234,793.75/14,397,544,273.50 = 14,397,544,273.50/x
  3. Step 3: Cross multiply
    6,647,234,793.75x = 14,397,544,273.50 × 14,397,544,273.50
  4. Step 4: Simplify right side
    6,647,234,793.75x = 207,289,281,107,392,626,688
  5. Step 5: Solve for x
    x = 207,289,281,107,392,626,688/6,647,234,793.75
  6. Step 6: Final answer
    x = 31,184,287,532.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.