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Finding the Third Proportional to 5,816,310.50 and 8,150,481.50

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Solution

The third proportional to 5,816,310.50 and 8,150,481.50 is: 11,421,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816,310.50 : 8,150,481.50 = 8,150,481.50 : x
  2. Step 2: Convert to fraction form
    5,816,310.50/8,150,481.50 = 8,150,481.50/x
  3. Step 3: Cross multiply
    5,816,310.50x = 8,150,481.50 × 8,150,481.50
  4. Step 4: Simplify right side
    5,816,310.50x = 66,430,348,681,842.25
  5. Step 5: Solve for x
    x = 66,430,348,681,842.25/5,816,310.50
  6. Step 6: Final answer
    x = 11,421,389.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.