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Finding the Third Proportional to 37,223,433.56 and 81,794,367

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Solution

The third proportional to 37,223,433.56 and 81,794,367 is: 179,734,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,223,433.56 : 81,794,367 = 81,794,367 : x
  2. Step 2: Convert to fraction form
    37,223,433.56/81,794,367 = 81,794,367/x
  3. Step 3: Cross multiply
    37,223,433.56x = 81,794,367 × 81,794,367
  4. Step 4: Simplify right side
    37,223,433.56x = 6,690,318,472,930,689
  5. Step 5: Solve for x
    x = 6,690,318,472,930,689/37,223,433.56
  6. Step 6: Final answer
    x = 179,734,050.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.