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Finding the Third Proportional to 1,917,645,468,723 and 4,172,873,789,016

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Solution

The third proportional to 1,917,645,468,723 and 4,172,873,789,016 is: 9,080,341,461,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917,645,468,723 : 4,172,873,789,016 = 4,172,873,789,016 : x
  2. Step 2: Convert to fraction form
    1,917,645,468,723/4,172,873,789,016 = 4,172,873,789,016/x
  3. Step 3: Cross multiply
    1,917,645,468,723x = 4,172,873,789,016 × 4,172,873,789,016
  4. Step 4: Simplify right side
    1,917,645,468,723x = 17,412,875,659,056,748,190,236,672
  5. Step 5: Solve for x
    x = 17,412,875,659,056,748,190,236,672/1,917,645,468,723
  6. Step 6: Final answer
    x = 9,080,341,461,997.32

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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.