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Finding the Third Proportional to 37,082,978.44 and 54,552,768.75

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Solution

The third proportional to 37,082,978.44 and 54,552,768.75 is: 80,252,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,082,978.44 : 54,552,768.75 = 54,552,768.75 : x
  2. Step 2: Convert to fraction form
    37,082,978.44/54,552,768.75 = 54,552,768.75/x
  3. Step 3: Cross multiply
    37,082,978.44x = 54,552,768.75 × 54,552,768.75
  4. Step 4: Simplify right side
    37,082,978.44x = 2,976,004,578,290,976.50
  5. Step 5: Solve for x
    x = 2,976,004,578,290,976.50/37,082,978.44
  6. Step 6: Final answer
    x = 80,252,576.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.