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Finding the Third Proportional to 8,286,228,147 and 17,754,381,078

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Solution

The third proportional to 8,286,228,147 and 17,754,381,078 is: 38,041,198,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286,228,147 : 17,754,381,078 = 17,754,381,078 : x
  2. Step 2: Convert to fraction form
    8,286,228,147/17,754,381,078 = 17,754,381,078/x
  3. Step 3: Cross multiply
    8,286,228,147x = 17,754,381,078 × 17,754,381,078
  4. Step 4: Simplify right side
    8,286,228,147x = 315,218,047,462,844,465,152
  5. Step 5: Solve for x
    x = 315,218,047,462,844,465,152/8,286,228,147
  6. Step 6: Final answer
    x = 38,041,198,223.22

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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.