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Finding the Third Proportional to 15,897,109,920,864 and 34,579,558,002,792

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Solution

The third proportional to 15,897,109,920,864 and 34,579,558,002,792 is: 75,217,812,396,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897,109,920,864 : 34,579,558,002,792 = 34,579,558,002,792 : x
  2. Step 2: Convert to fraction form
    15,897,109,920,864/34,579,558,002,792 = 34,579,558,002,792/x
  3. Step 3: Cross multiply
    15,897,109,920,864x = 34,579,558,002,792 × 34,579,558,002,792
  4. Step 4: Simplify right side
    15,897,109,920,864x = 1,195,745,831,668,456,203,940,265,984
  5. Step 5: Solve for x
    x = 1,195,745,831,668,456,203,940,265,984/15,897,109,920,864
  6. Step 6: Final answer
    x = 75,217,812,396,145.78

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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.