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Finding the Third Proportional to 306,612,558,965 and 667,215,791,032

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Solution

The third proportional to 306,612,558,965 and 667,215,791,032 is: 1,451,920,016,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,612,558,965 : 667,215,791,032 = 667,215,791,032 : x
  2. Step 2: Convert to fraction form
    306,612,558,965/667,215,791,032 = 667,215,791,032/x
  3. Step 3: Cross multiply
    306,612,558,965x = 667,215,791,032 × 667,215,791,032
  4. Step 4: Simplify right side
    306,612,558,965x = 445,176,911,802,457,474,990,080
  5. Step 5: Solve for x
    x = 445,176,911,802,457,474,990,080/306,612,558,965
  6. Step 6: Final answer
    x = 1,451,920,016,926.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.