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Finding the Third Proportional to 8,285,092,384 and 18,174,221,326.75

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Solution

The third proportional to 8,285,092,384 and 18,174,221,326.75 is: 39,867,065,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285,092,384 : 18,174,221,326.75 = 18,174,221,326.75 : x
  2. Step 2: Convert to fraction form
    8,285,092,384/18,174,221,326.75 = 18,174,221,326.75/x
  3. Step 3: Cross multiply
    8,285,092,384x = 18,174,221,326.75 × 18,174,221,326.75
  4. Step 4: Simplify right side
    8,285,092,384x = 330,302,320,833,694,531,584
  5. Step 5: Solve for x
    x = 330,302,320,833,694,531,584/8,285,092,384
  6. Step 6: Final answer
    x = 39,867,065,510.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.