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Finding the Third Proportional to 6,434,296 and 13,397,850.50

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Solution

The third proportional to 6,434,296 and 13,397,850.50 is: 27,897,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434,296 : 13,397,850.50 = 13,397,850.50 : x
  2. Step 2: Convert to fraction form
    6,434,296/13,397,850.50 = 13,397,850.50/x
  3. Step 3: Cross multiply
    6,434,296x = 13,397,850.50 × 13,397,850.50
  4. Step 4: Simplify right side
    6,434,296x = 179,502,398,020,350.25
  5. Step 5: Solve for x
    x = 179,502,398,020,350.25/6,434,296
  6. Step 6: Final answer
    x = 27,897,752.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.