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Finding the Third Proportional to 7,867,149.75 and 12,150,097.50

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Solution

The third proportional to 7,867,149.75 and 12,150,097.50 is: 18,764,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867,149.75 : 12,150,097.50 = 12,150,097.50 : x
  2. Step 2: Convert to fraction form
    7,867,149.75/12,150,097.50 = 12,150,097.50/x
  3. Step 3: Cross multiply
    7,867,149.75x = 12,150,097.50 × 12,150,097.50
  4. Step 4: Simplify right side
    7,867,149.75x = 147,624,869,259,506.25
  5. Step 5: Solve for x
    x = 147,624,869,259,506.25/7,867,149.75
  6. Step 6: Final answer
    x = 18,764,720.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.