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Finding the Third Proportional to 17,392,815,570,008 and 37,839,290,411,886

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Solution

The third proportional to 17,392,815,570,008 and 37,839,290,411,886 is: 82,322,030,789,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,392,815,570,008 : 37,839,290,411,886 = 37,839,290,411,886 : x
  2. Step 2: Convert to fraction form
    17,392,815,570,008/37,839,290,411,886 = 37,839,290,411,886/x
  3. Step 3: Cross multiply
    17,392,815,570,008x = 37,839,290,411,886 × 37,839,290,411,886
  4. Step 4: Simplify right side
    17,392,815,570,008x = 1,431,811,898,875,047,873,397,915,648
  5. Step 5: Solve for x
    x = 1,431,811,898,875,047,873,397,915,648/17,392,815,570,008
  6. Step 6: Final answer
    x = 82,322,030,789,773.34

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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.