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Finding the Third Proportional to 121,285,632 and 263,821,824

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Solution

The third proportional to 121,285,632 and 263,821,824 is: 573,868,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,285,632 : 263,821,824 = 263,821,824 : x
  2. Step 2: Convert to fraction form
    121,285,632/263,821,824 = 263,821,824/x
  3. Step 3: Cross multiply
    121,285,632x = 263,821,824 × 263,821,824
  4. Step 4: Simplify right side
    121,285,632x = 69,601,954,818,686,976
  5. Step 5: Solve for x
    x = 69,601,954,818,686,976/121,285,632
  6. Step 6: Final answer
    x = 573,868,096.91

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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.