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Finding the Third Proportional to 129,858,567,984.75 and 279,260,403,915

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Solution

The third proportional to 129,858,567,984.75 and 279,260,403,915 is: 600,548,538,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,858,567,984.75 : 279,260,403,915 = 279,260,403,915 : x
  2. Step 2: Convert to fraction form
    129,858,567,984.75/279,260,403,915 = 279,260,403,915/x
  3. Step 3: Cross multiply
    129,858,567,984.75x = 279,260,403,915 × 279,260,403,915
  4. Step 4: Simplify right side
    129,858,567,984.75x = 77,986,373,194,768,940,269,568
  5. Step 5: Solve for x
    x = 77,986,373,194,768,940,269,568/129,858,567,984.75
  6. Step 6: Final answer
    x = 600,548,538,344.63

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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.