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Finding the Third Proportional to 2,654,870,400 and 3,824,172,864

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Solution

The third proportional to 2,654,870,400 and 3,824,172,864 is: 5,508,479,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654,870,400 : 3,824,172,864 = 3,824,172,864 : x
  2. Step 2: Convert to fraction form
    2,654,870,400/3,824,172,864 = 3,824,172,864/x
  3. Step 3: Cross multiply
    2,654,870,400x = 3,824,172,864 × 3,824,172,864
  4. Step 4: Simplify right side
    2,654,870,400x = 14,624,298,093,753,962,496
  5. Step 5: Solve for x
    x = 14,624,298,093,753,962,496/2,654,870,400
  6. Step 6: Final answer
    x = 5,508,479,093.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.