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Finding the Third Proportional to 70,788,987,699 and 151,675,121,847

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Solution

The third proportional to 70,788,987,699 and 151,675,121,847 is: 324,984,765,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,788,987,699 : 151,675,121,847 = 151,675,121,847 : x
  2. Step 2: Convert to fraction form
    70,788,987,699/151,675,121,847 = 151,675,121,847/x
  3. Step 3: Cross multiply
    70,788,987,699x = 151,675,121,847 × 151,675,121,847
  4. Step 4: Simplify right side
    70,788,987,699x = 23,005,342,587,302,296,158,208
  5. Step 5: Solve for x
    x = 23,005,342,587,302,296,158,208/70,788,987,699
  6. Step 6: Final answer
    x = 324,984,765,781.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.