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Finding the Third Proportional to 8,286,228,152 and 17,754,381,087

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Solution

The third proportional to 8,286,228,152 and 17,754,381,087 is: 38,041,198,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286,228,152 : 17,754,381,087 = 17,754,381,087 : x
  2. Step 2: Convert to fraction form
    8,286,228,152/17,754,381,087 = 17,754,381,087/x
  3. Step 3: Cross multiply
    8,286,228,152x = 17,754,381,087 × 17,754,381,087
  4. Step 4: Simplify right side
    8,286,228,152x = 315,218,047,782,423,298,048
  5. Step 5: Solve for x
    x = 315,218,047,782,423,298,048/8,286,228,152
  6. Step 6: Final answer
    x = 38,041,198,238.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.