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Finding the Third Proportional to 6,137,295.75 and 9,205,942.50

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Solution

The third proportional to 6,137,295.75 and 9,205,942.50 is: 13,808,912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137,295.75 : 9,205,942.50 = 9,205,942.50 : x
  2. Step 2: Convert to fraction form
    6,137,295.75/9,205,942.50 = 9,205,942.50/x
  3. Step 3: Cross multiply
    6,137,295.75x = 9,205,942.50 × 9,205,942.50
  4. Step 4: Simplify right side
    6,137,295.75x = 84,749,377,313,306.25
  5. Step 5: Solve for x
    x = 84,749,377,313,306.25/6,137,295.75
  6. Step 6: Final answer
    x = 13,808,912.06

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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.