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Finding the Third Proportional to 36,878,951,565 and 79,351,275,186

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Solution

The third proportional to 36,878,951,565 and 79,351,275,186 is: 170,737,632,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,878,951,565 : 79,351,275,186 = 79,351,275,186 : x
  2. Step 2: Convert to fraction form
    36,878,951,565/79,351,275,186 = 79,351,275,186/x
  3. Step 3: Cross multiply
    36,878,951,565x = 79,351,275,186 × 79,351,275,186
  4. Step 4: Simplify right side
    36,878,951,565x = 6,296,624,873,644,298,862,592
  5. Step 5: Solve for x
    x = 6,296,624,873,644,298,862,592/36,878,951,565
  6. Step 6: Final answer
    x = 170,737,632,346.91

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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.