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Finding the Third Proportional to 242,070,591,764 and 529,741,976,764

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Solution

The third proportional to 242,070,591,764 and 529,741,976,764 is: 1,159,275,729,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,070,591,764 : 529,741,976,764 = 529,741,976,764 : x
  2. Step 2: Convert to fraction form
    242,070,591,764/529,741,976,764 = 529,741,976,764/x
  3. Step 3: Cross multiply
    242,070,591,764x = 529,741,976,764 × 529,741,976,764
  4. Step 4: Simplify right side
    242,070,591,764x = 280,626,561,945,830,307,135,488
  5. Step 5: Solve for x
    x = 280,626,561,945,830,307,135,488/242,070,591,764
  6. Step 6: Final answer
    x = 1,159,275,729,864.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.