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Finding the Third Proportional to 31,843,851.75 and 47,715,774.75

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Solution

The third proportional to 31,843,851.75 and 47,715,774.75 is: 71,498,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843,851.75 : 47,715,774.75 = 47,715,774.75 : x
  2. Step 2: Convert to fraction form
    31,843,851.75/47,715,774.75 = 47,715,774.75/x
  3. Step 3: Cross multiply
    31,843,851.75x = 47,715,774.75 × 47,715,774.75
  4. Step 4: Simplify right side
    31,843,851.75x = 2,276,795,159,992,737.50
  5. Step 5: Solve for x
    x = 2,276,795,159,992,737.50/31,843,851.75
  6. Step 6: Final answer
    x = 71,498,736.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.