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Finding the Third Proportional to 1,022,188,832.72 and 2,223,474,512.63

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Solution

The third proportional to 1,022,188,832.72 and 2,223,474,512.63 is: 4,836,522,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,188,832.72 : 2,223,474,512.63 = 2,223,474,512.63 : x
  2. Step 2: Convert to fraction form
    1,022,188,832.72/2,223,474,512.63 = 2,223,474,512.63/x
  3. Step 3: Cross multiply
    1,022,188,832.72x = 2,223,474,512.63 × 2,223,474,512.63
  4. Step 4: Simplify right side
    1,022,188,832.72x = 4,943,838,908,292,981,760
  5. Step 5: Solve for x
    x = 4,943,838,908,292,981,760/1,022,188,832.72
  6. Step 6: Final answer
    x = 4,836,522,127.86

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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.