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Finding the Third Proportional to 3,089,453.50 and 6,728,136.50

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Solution

The third proportional to 3,089,453.50 and 6,728,136.50 is: 14,652,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089,453.50 : 6,728,136.50 = 6,728,136.50 : x
  2. Step 2: Convert to fraction form
    3,089,453.50/6,728,136.50 = 6,728,136.50/x
  3. Step 3: Cross multiply
    3,089,453.50x = 6,728,136.50 × 6,728,136.50
  4. Step 4: Simplify right side
    3,089,453.50x = 45,267,820,762,632.25
  5. Step 5: Solve for x
    x = 45,267,820,762,632.25/3,089,453.50
  6. Step 6: Final answer
    x = 14,652,371.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.