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Finding the Third Proportional to 242,070,591,718.70 and 529,741,976,668.32

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Solution

The third proportional to 242,070,591,718.70 and 529,741,976,668.32 is: 1,159,275,729,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,070,591,718.70 : 529,741,976,668.32 = 529,741,976,668.32 : x
  2. Step 2: Convert to fraction form
    242,070,591,718.70/529,741,976,668.32 = 529,741,976,668.32/x
  3. Step 3: Cross multiply
    242,070,591,718.70x = 529,741,976,668.32 × 529,741,976,668.32
  4. Step 4: Simplify right side
    242,070,591,718.70x = 280,626,561,844,458,911,956,992
  5. Step 5: Solve for x
    x = 280,626,561,844,458,911,956,992/242,070,591,718.70
  6. Step 6: Final answer
    x = 1,159,275,729,662.21

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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.