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Finding the Third Proportional to 17,392,815,570,863 and 37,839,290,413,568

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Solution

The third proportional to 17,392,815,570,863 and 37,839,290,413,568 is: 82,322,030,793,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,392,815,570,863 : 37,839,290,413,568 = 37,839,290,413,568 : x
  2. Step 2: Convert to fraction form
    17,392,815,570,863/37,839,290,413,568 = 37,839,290,413,568/x
  3. Step 3: Cross multiply
    17,392,815,570,863x = 37,839,290,413,568 × 37,839,290,413,568
  4. Step 4: Simplify right side
    17,392,815,570,863x = 1,431,811,899,002,339,159,179,264,000
  5. Step 5: Solve for x
    x = 1,431,811,899,002,339,159,179,264,000/17,392,815,570,863
  6. Step 6: Final answer
    x = 82,322,030,793,045.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.