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Finding the Third Proportional to 14,233,825,866 and 29,645,777,067

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Solution

The third proportional to 14,233,825,866 and 29,645,777,067 is: 61,745,317,540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233,825,866 : 29,645,777,067 = 29,645,777,067 : x
  2. Step 2: Convert to fraction form
    14,233,825,866/29,645,777,067 = 29,645,777,067/x
  3. Step 3: Cross multiply
    14,233,825,866x = 29,645,777,067 × 29,645,777,067
  4. Step 4: Simplify right side
    14,233,825,866x = 878,872,097,906,263,064,576
  5. Step 5: Solve for x
    x = 878,872,097,906,263,064,576/14,233,825,866
  6. Step 6: Final answer
    x = 61,745,317,540.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.