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Finding the Third Proportional to 20,873,947.50 and 31,850,815.50

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Solution

The third proportional to 20,873,947.50 and 31,850,815.50 is: 48,600,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873,947.50 : 31,850,815.50 = 31,850,815.50 : x
  2. Step 2: Convert to fraction form
    20,873,947.50/31,850,815.50 = 31,850,815.50/x
  3. Step 3: Cross multiply
    20,873,947.50x = 31,850,815.50 × 31,850,815.50
  4. Step 4: Simplify right side
    20,873,947.50x = 1,014,474,448,015,040.25
  5. Step 5: Solve for x
    x = 1,014,474,448,015,040.25/20,873,947.50
  6. Step 6: Final answer
    x = 48,600,028.72

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.