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Finding the Third Proportional to 7,777,930.50 and 11,204,412.75

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Solution

The third proportional to 7,777,930.50 and 11,204,412.75 is: 16,140,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777,930.50 : 11,204,412.75 = 11,204,412.75 : x
  2. Step 2: Convert to fraction form
    7,777,930.50/11,204,412.75 = 11,204,412.75/x
  3. Step 3: Cross multiply
    7,777,930.50x = 11,204,412.75 × 11,204,412.75
  4. Step 4: Simplify right side
    7,777,930.50x = 125,538,865,072,362.56
  5. Step 5: Solve for x
    x = 125,538,865,072,362.56/7,777,930.50
  6. Step 6: Final answer
    x = 16,140,394.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.