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Finding the Third Proportional to 17,034,032,168 and 37,067,546,224

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Solution

The third proportional to 17,034,032,168 and 37,067,546,224 is: 80,662,227,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,034,032,168 : 37,067,546,224 = 37,067,546,224 : x
  2. Step 2: Convert to fraction form
    17,034,032,168/37,067,546,224 = 37,067,546,224/x
  3. Step 3: Cross multiply
    17,034,032,168x = 37,067,546,224 × 37,067,546,224
  4. Step 4: Simplify right side
    17,034,032,168x = 1,374,002,983,068,376,760,320
  5. Step 5: Solve for x
    x = 1,374,002,983,068,376,760,320/17,034,032,168
  6. Step 6: Final answer
    x = 80,662,227,798.86

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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.