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Finding the Third Proportional to 6,434,295.75 and 13,397,850

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Solution

The third proportional to 6,434,295.75 and 13,397,850 is: 27,897,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434,295.75 : 13,397,850 = 13,397,850 : x
  2. Step 2: Convert to fraction form
    6,434,295.75/13,397,850 = 13,397,850/x
  3. Step 3: Cross multiply
    6,434,295.75x = 13,397,850 × 13,397,850
  4. Step 4: Simplify right side
    6,434,295.75x = 179,502,384,622,500
  5. Step 5: Solve for x
    x = 179,502,384,622,500/6,434,295.75
  6. Step 6: Final answer
    x = 27,897,751.61

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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.