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Finding the Third Proportional to 36,878,951,538 and 79,351,275,132

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Solution

The third proportional to 36,878,951,538 and 79,351,275,132 is: 170,737,632,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,878,951,538 : 79,351,275,132 = 79,351,275,132 : x
  2. Step 2: Convert to fraction form
    36,878,951,538/79,351,275,132 = 79,351,275,132/x
  3. Step 3: Cross multiply
    36,878,951,538x = 79,351,275,132 × 79,351,275,132
  4. Step 4: Simplify right side
    36,878,951,538x = 6,296,624,865,074,361,663,488
  5. Step 5: Solve for x
    x = 6,296,624,865,074,361,663,488/36,878,951,538
  6. Step 6: Final answer
    x = 170,737,632,239.53

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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.