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Finding the Third Proportional to 31,839,649.50 and 68,220,072.75

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Solution

The third proportional to 31,839,649.50 and 68,220,072.75 is: 146,169,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839,649.50 : 68,220,072.75 = 68,220,072.75 : x
  2. Step 2: Convert to fraction form
    31,839,649.50/68,220,072.75 = 68,220,072.75/x
  3. Step 3: Cross multiply
    31,839,649.50x = 68,220,072.75 × 68,220,072.75
  4. Step 4: Simplify right side
    31,839,649.50x = 4,653,978,326,015,293
  5. Step 5: Solve for x
    x = 4,653,978,326,015,293/31,839,649.50
  6. Step 6: Final answer
    x = 146,169,270.05

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Why These Related Problems?

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