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Finding the Third Proportional to 6,082,309.50 and 8,503,427.25

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Solution

The third proportional to 6,082,309.50 and 8,503,427.25 is: 11,888,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082,309.50 : 8,503,427.25 = 8,503,427.25 : x
  2. Step 2: Convert to fraction form
    6,082,309.50/8,503,427.25 = 8,503,427.25/x
  3. Step 3: Cross multiply
    6,082,309.50x = 8,503,427.25 × 8,503,427.25
  4. Step 4: Simplify right side
    6,082,309.50x = 72,308,274,996,042.56
  5. Step 5: Solve for x
    x = 72,308,274,996,042.56/6,082,309.50
  6. Step 6: Final answer
    x = 11,888,292.60

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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.