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Finding the Third Proportional to 306,612,558,963 and 667,215,791,028

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Solution

The third proportional to 306,612,558,963 and 667,215,791,028 is: 1,451,920,016,918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,612,558,963 : 667,215,791,028 = 667,215,791,028 : x
  2. Step 2: Convert to fraction form
    306,612,558,963/667,215,791,028 = 667,215,791,028/x
  3. Step 3: Cross multiply
    306,612,558,963x = 667,215,791,028 × 667,215,791,028
  4. Step 4: Simplify right side
    306,612,558,963x = 445,176,911,797,119,770,165,248
  5. Step 5: Solve for x
    x = 445,176,911,797,119,770,165,248/306,612,558,963
  6. Step 6: Final answer
    x = 1,451,920,016,918.94

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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.