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Finding the Third Proportional to 20,770,627.50 and 45,198,648

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Solution

The third proportional to 20,770,627.50 and 45,198,648 is: 98,356,093.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770,627.50 : 45,198,648 = 45,198,648 : x
  2. Step 2: Convert to fraction form
    20,770,627.50/45,198,648 = 45,198,648/x
  3. Step 3: Cross multiply
    20,770,627.50x = 45,198,648 × 45,198,648
  4. Step 4: Simplify right side
    20,770,627.50x = 2,042,917,781,027,904
  5. Step 5: Solve for x
    x = 2,042,917,781,027,904/20,770,627.50
  6. Step 6: Final answer
    x = 98,356,093.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.