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Finding the Third Proportional to 37,322,015,376 and 82,251,446,304

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Solution

The third proportional to 37,322,015,376 and 82,251,446,304 is: 181,268,357,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,322,015,376 : 82,251,446,304 = 82,251,446,304 : x
  2. Step 2: Convert to fraction form
    37,322,015,376/82,251,446,304 = 82,251,446,304/x
  3. Step 3: Cross multiply
    37,322,015,376x = 82,251,446,304 × 82,251,446,304
  4. Step 4: Simplify right side
    37,322,015,376x = 6,765,300,419,099,795,390,464
  5. Step 5: Solve for x
    x = 6,765,300,419,099,795,390,464/37,322,015,376
  6. Step 6: Final answer
    x = 181,268,357,320.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.