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Finding the Third Proportional to 4,690,144.50 and 10,278,093

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Solution

The third proportional to 4,690,144.50 and 10,278,093 is: 22,523,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690,144.50 : 10,278,093 = 10,278,093 : x
  2. Step 2: Convert to fraction form
    4,690,144.50/10,278,093 = 10,278,093/x
  3. Step 3: Cross multiply
    4,690,144.50x = 10,278,093 × 10,278,093
  4. Step 4: Simplify right side
    4,690,144.50x = 105,639,195,716,649
  5. Step 5: Solve for x
    x = 105,639,195,716,649/4,690,144.50
  6. Step 6: Final answer
    x = 22,523,654.81

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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.