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Finding the Third Proportional to 384,332,159,102 and 826,504,986,530

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Solution

The third proportional to 384,332,159,102 and 826,504,986,530 is: 1,777,396,131,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,332,159,102 : 826,504,986,530 = 826,504,986,530 : x
  2. Step 2: Convert to fraction form
    384,332,159,102/826,504,986,530 = 826,504,986,530/x
  3. Step 3: Cross multiply
    384,332,159,102x = 826,504,986,530 × 826,504,986,530
  4. Step 4: Simplify right side
    384,332,159,102x = 683,110,492,758,955,494,735,872
  5. Step 5: Solve for x
    x = 683,110,492,758,955,494,735,872/384,332,159,102
  6. Step 6: Final answer
    x = 1,777,396,131,395.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.