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Finding the Third Proportional to 8,324,016,696 and 19,423,376,424

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Solution

The third proportional to 8,324,016,696 and 19,423,376,424 is: 45,322,776,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324,016,696 : 19,423,376,424 = 19,423,376,424 : x
  2. Step 2: Convert to fraction form
    8,324,016,696/19,423,376,424 = 19,423,376,424/x
  3. Step 3: Cross multiply
    8,324,016,696x = 19,423,376,424 × 19,423,376,424
  4. Step 4: Simplify right side
    8,324,016,696x = 377,267,551,708,399,009,792
  5. Step 5: Solve for x
    x = 377,267,551,708,399,009,792/8,324,016,696
  6. Step 6: Final answer
    x = 45,322,776,910.06

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.