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Finding the Third Proportional to 4,400,596 and 7,002,213.50

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Solution

The third proportional to 4,400,596 and 7,002,213.50 is: 11,141,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400,596 : 7,002,213.50 = 7,002,213.50 : x
  2. Step 2: Convert to fraction form
    4,400,596/7,002,213.50 = 7,002,213.50/x
  3. Step 3: Cross multiply
    4,400,596x = 7,002,213.50 × 7,002,213.50
  4. Step 4: Simplify right side
    4,400,596x = 49,030,993,899,582.25
  5. Step 5: Solve for x
    x = 49,030,993,899,582.25/4,400,596
  6. Step 6: Final answer
    x = 11,141,898.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.