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Finding the Third Proportional to 16,783,231.50 and 36,686,454.75

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Solution

The third proportional to 16,783,231.50 and 36,686,454.75 is: 80,192,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783,231.50 : 36,686,454.75 = 36,686,454.75 : x
  2. Step 2: Convert to fraction form
    16,783,231.50/36,686,454.75 = 36,686,454.75/x
  3. Step 3: Cross multiply
    16,783,231.50x = 36,686,454.75 × 36,686,454.75
  4. Step 4: Simplify right side
    16,783,231.50x = 1,345,895,962,123,797.50
  5. Step 5: Solve for x
    x = 1,345,895,962,123,797.50/16,783,231.50
  6. Step 6: Final answer
    x = 80,192,897.42

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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.