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Finding the Third Proportional to 116,292,189,676 and 252,431,707,544

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Solution

The third proportional to 116,292,189,676 and 252,431,707,544 is: 547,945,370,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,292,189,676 : 252,431,707,544 = 252,431,707,544 : x
  2. Step 2: Convert to fraction form
    116,292,189,676/252,431,707,544 = 252,431,707,544/x
  3. Step 3: Cross multiply
    116,292,189,676x = 252,431,707,544 × 252,431,707,544
  4. Step 4: Simplify right side
    116,292,189,676x = 63,721,766,973,579,546,591,232
  5. Step 5: Solve for x
    x = 63,721,766,973,579,546,591,232/116,292,189,676
  6. Step 6: Final answer
    x = 547,945,370,631.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.