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Finding the Third Proportional to 5,177,907.50 and 7,766,861.50

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Solution

The third proportional to 5,177,907.50 and 7,766,861.50 is: 11,650,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177,907.50 : 7,766,861.50 = 7,766,861.50 : x
  2. Step 2: Convert to fraction form
    5,177,907.50/7,766,861.50 = 7,766,861.50/x
  3. Step 3: Cross multiply
    5,177,907.50x = 7,766,861.50 × 7,766,861.50
  4. Step 4: Simplify right side
    5,177,907.50x = 60,324,137,560,182.25
  5. Step 5: Solve for x
    x = 60,324,137,560,182.25/5,177,907.50
  6. Step 6: Final answer
    x = 11,650,292.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.