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Finding the Third Proportional to 3,431,464.50 and 7,394,782.50

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Solution

The third proportional to 3,431,464.50 and 7,394,782.50 is: 15,935,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431,464.50 : 7,394,782.50 = 7,394,782.50 : x
  2. Step 2: Convert to fraction form
    3,431,464.50/7,394,782.50 = 7,394,782.50/x
  3. Step 3: Cross multiply
    3,431,464.50x = 7,394,782.50 × 7,394,782.50
  4. Step 4: Simplify right side
    3,431,464.50x = 54,682,808,222,306.25
  5. Step 5: Solve for x
    x = 54,682,808,222,306.25/3,431,464.50
  6. Step 6: Final answer
    x = 15,935,705.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.