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Finding the Third Proportional to 3,650,550 and 5,674,942.50

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Solution

The third proportional to 3,650,550 and 5,674,942.50 is: 8,821,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650,550 : 5,674,942.50 = 5,674,942.50 : x
  2. Step 2: Convert to fraction form
    3,650,550/5,674,942.50 = 5,674,942.50/x
  3. Step 3: Cross multiply
    3,650,550x = 5,674,942.50 × 5,674,942.50
  4. Step 4: Simplify right side
    3,650,550x = 32,204,972,378,306.25
  5. Step 5: Solve for x
    x = 32,204,972,378,306.25/3,650,550
  6. Step 6: Final answer
    x = 8,821,950.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.