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Finding the Third Proportional to 8,286,228,154 and 17,754,381,091

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Solution

The third proportional to 8,286,228,154 and 17,754,381,091 is: 38,041,198,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286,228,154 : 17,754,381,091 = 17,754,381,091 : x
  2. Step 2: Convert to fraction form
    8,286,228,154/17,754,381,091 = 17,754,381,091/x
  3. Step 3: Cross multiply
    8,286,228,154x = 17,754,381,091 × 17,754,381,091
  4. Step 4: Simplify right side
    8,286,228,154x = 315,218,047,924,458,356,736
  5. Step 5: Solve for x
    x = 315,218,047,924,458,356,736/8,286,228,154
  6. Step 6: Final answer
    x = 38,041,198,246.79

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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.