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Finding the Third Proportional to 1,251,981,469,905 and 2,711,855,933,256

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Solution

The third proportional to 1,251,981,469,905 and 2,711,855,933,256 is: 5,874,018,729,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,981,469,905 : 2,711,855,933,256 = 2,711,855,933,256 : x
  2. Step 2: Convert to fraction form
    1,251,981,469,905/2,711,855,933,256 = 2,711,855,933,256/x
  3. Step 3: Cross multiply
    1,251,981,469,905x = 2,711,855,933,256 × 2,711,855,933,256
  4. Step 4: Simplify right side
    1,251,981,469,905x = 7,354,162,602,735,771,244,822,528
  5. Step 5: Solve for x
    x = 7,354,162,602,735,771,244,822,528/1,251,981,469,905
  6. Step 6: Final answer
    x = 5,874,018,729,122.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.