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Finding the Third Proportional to 104,790,519,722 and 227,941,422,836

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Solution

The third proportional to 104,790,519,722 and 227,941,422,836 is: 495,820,541,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,790,519,722 : 227,941,422,836 = 227,941,422,836 : x
  2. Step 2: Convert to fraction form
    104,790,519,722/227,941,422,836 = 227,941,422,836/x
  3. Step 3: Cross multiply
    104,790,519,722x = 227,941,422,836 × 227,941,422,836
  4. Step 4: Simplify right side
    104,790,519,722x = 51,957,292,244,500,138,164,224
  5. Step 5: Solve for x
    x = 51,957,292,244,500,138,164,224/104,790,519,722
  6. Step 6: Final answer
    x = 495,820,541,613.29

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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.