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Finding the Third Proportional to 5,731,183.50 and 8,670,487.50

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Solution

The third proportional to 5,731,183.50 and 8,670,487.50 is: 13,117,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731,183.50 : 8,670,487.50 = 8,670,487.50 : x
  2. Step 2: Convert to fraction form
    5,731,183.50/8,670,487.50 = 8,670,487.50/x
  3. Step 3: Cross multiply
    5,731,183.50x = 8,670,487.50 × 8,670,487.50
  4. Step 4: Simplify right side
    5,731,183.50x = 75,177,353,487,656.25
  5. Step 5: Solve for x
    x = 75,177,353,487,656.25/5,731,183.50
  6. Step 6: Final answer
    x = 13,117,247.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.