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Finding the Third Proportional to 273,240,944 and 422,629,616

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Solution

The third proportional to 273,240,944 and 422,629,616 is: 653,693,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,240,944 : 422,629,616 = 422,629,616 : x
  2. Step 2: Convert to fraction form
    273,240,944/422,629,616 = 422,629,616/x
  3. Step 3: Cross multiply
    273,240,944x = 422,629,616 × 422,629,616
  4. Step 4: Simplify right side
    273,240,944x = 178,615,792,320,307,456
  5. Step 5: Solve for x
    x = 178,615,792,320,307,456/273,240,944
  6. Step 6: Final answer
    x = 653,693,365.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.