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Finding the Third Proportional to 6,751,596.38 and 14,783,817.75

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Solution

The third proportional to 6,751,596.38 and 14,783,817.75 is: 32,371,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751,596.38 : 14,783,817.75 = 14,783,817.75 : x
  2. Step 2: Convert to fraction form
    6,751,596.38/14,783,817.75 = 14,783,817.75/x
  3. Step 3: Cross multiply
    6,751,596.38x = 14,783,817.75 × 14,783,817.75
  4. Step 4: Simplify right side
    6,751,596.38x = 218,561,267,265,215.06
  5. Step 5: Solve for x
    x = 218,561,267,265,215.06/6,751,596.38
  6. Step 6: Final answer
    x = 32,371,791.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.