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Finding the Third Proportional to 39,318,665,170 and 86,651,726,378

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Solution

The third proportional to 39,318,665,170 and 86,651,726,378 is: 190,965,833,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,318,665,170 : 86,651,726,378 = 86,651,726,378 : x
  2. Step 2: Convert to fraction form
    39,318,665,170/86,651,726,378 = 86,651,726,378/x
  3. Step 3: Cross multiply
    39,318,665,170x = 86,651,726,378 × 86,651,726,378
  4. Step 4: Simplify right side
    39,318,665,170x = 7,508,521,684,287,780,552,704
  5. Step 5: Solve for x
    x = 7,508,521,684,287,780,552,704/39,318,665,170
  6. Step 6: Final answer
    x = 190,965,833,957.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.