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Finding the Third Proportional to 6,780,324 and 16,002,882.75

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Solution

The third proportional to 6,780,324 and 16,002,882.75 is: 37,769,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780,324 : 16,002,882.75 = 16,002,882.75 : x
  2. Step 2: Convert to fraction form
    6,780,324/16,002,882.75 = 16,002,882.75/x
  3. Step 3: Cross multiply
    6,780,324x = 16,002,882.75 × 16,002,882.75
  4. Step 4: Simplify right side
    6,780,324x = 256,092,256,310,247.56
  5. Step 5: Solve for x
    x = 256,092,256,310,247.56/6,780,324
  6. Step 6: Final answer
    x = 37,769,914.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.