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Finding the Third Proportional to 242,070,591,766 and 529,741,976,768

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Solution

The third proportional to 242,070,591,766 and 529,741,976,768 is: 1,159,275,729,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,070,591,766 : 529,741,976,768 = 529,741,976,768 : x
  2. Step 2: Convert to fraction form
    242,070,591,766/529,741,976,768 = 529,741,976,768/x
  3. Step 3: Cross multiply
    242,070,591,766x = 529,741,976,768 × 529,741,976,768
  4. Step 4: Simplify right side
    242,070,591,766x = 280,626,561,950,068,265,451,520
  5. Step 5: Solve for x
    x = 280,626,561,950,068,265,451,520/242,070,591,766
  6. Step 6: Final answer
    x = 1,159,275,729,871.97

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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.