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Finding the Third Proportional to 2,351,847 and 4,986,294.75

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Solution

The third proportional to 2,351,847 and 4,986,294.75 is: 10,571,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351,847 : 4,986,294.75 = 4,986,294.75 : x
  2. Step 2: Convert to fraction form
    2,351,847/4,986,294.75 = 4,986,294.75/x
  3. Step 3: Cross multiply
    2,351,847x = 4,986,294.75 × 4,986,294.75
  4. Step 4: Simplify right side
    2,351,847x = 24,863,135,333,877.56
  5. Step 5: Solve for x
    x = 24,863,135,333,877.56/2,351,847
  6. Step 6: Final answer
    x = 10,571,748.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.