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Finding the Third Proportional to 31,839,648.25 and 68,220,070.75

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Solution

The third proportional to 31,839,648.25 and 68,220,070.75 is: 146,169,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839,648.25 : 68,220,070.75 = 68,220,070.75 : x
  2. Step 2: Convert to fraction form
    31,839,648.25/68,220,070.75 = 68,220,070.75/x
  3. Step 3: Cross multiply
    31,839,648.25x = 68,220,070.75 × 68,220,070.75
  4. Step 4: Simplify right side
    31,839,648.25x = 4,653,978,053,135,006
  5. Step 5: Solve for x
    x = 4,653,978,053,135,006/31,839,648.25
  6. Step 6: Final answer
    x = 146,169,267.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.