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Finding the Third Proportional to 11,952,922,100 and 17,863,504,142

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Solution

The third proportional to 11,952,922,100 and 17,863,504,142 is: 26,696,800,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952,922,100 : 17,863,504,142 = 17,863,504,142 : x
  2. Step 2: Convert to fraction form
    11,952,922,100/17,863,504,142 = 17,863,504,142/x
  3. Step 3: Cross multiply
    11,952,922,100x = 17,863,504,142 × 17,863,504,142
  4. Step 4: Simplify right side
    11,952,922,100x = 319,104,780,231,251,132,416
  5. Step 5: Solve for x
    x = 319,104,780,231,251,132,416/11,952,922,100
  6. Step 6: Final answer
    x = 26,696,800,795.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.