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Finding the Third Proportional to 3,479,377,440,129 and 7,057,965,016,830

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Solution

The third proportional to 3,479,377,440,129 and 7,057,965,016,830 is: 14,317,179,160,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479,377,440,129 : 7,057,965,016,830 = 7,057,965,016,830 : x
  2. Step 2: Convert to fraction form
    3,479,377,440,129/7,057,965,016,830 = 7,057,965,016,830/x
  3. Step 3: Cross multiply
    3,479,377,440,129x = 7,057,965,016,830 × 7,057,965,016,830
  4. Step 4: Simplify right side
    3,479,377,440,129x = 49,814,870,178,796,101,689,147,392
  5. Step 5: Solve for x
    x = 49,814,870,178,796,101,689,147,392/3,479,377,440,129
  6. Step 6: Final answer
    x = 14,317,179,160,921.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.