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Finding the Third Proportional to 15,897,109,920,866 and 34,579,558,002,796

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Solution

The third proportional to 15,897,109,920,866 and 34,579,558,002,796 is: 75,217,812,396,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897,109,920,866 : 34,579,558,002,796 = 34,579,558,002,796 : x
  2. Step 2: Convert to fraction form
    15,897,109,920,866/34,579,558,002,796 = 34,579,558,002,796/x
  3. Step 3: Cross multiply
    15,897,109,920,866x = 34,579,558,002,796 × 34,579,558,002,796
  4. Step 4: Simplify right side
    15,897,109,920,866x = 1,195,745,831,668,732,868,553,605,120
  5. Step 5: Solve for x
    x = 1,195,745,831,668,732,868,553,605,120/15,897,109,920,866
  6. Step 6: Final answer
    x = 75,217,812,396,153.72

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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.