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Finding the Third Proportional to 3,141,831 and 4,835,218.50

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Solution

The third proportional to 3,141,831 and 4,835,218.50 is: 7,441,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,831 : 4,835,218.50 = 4,835,218.50 : x
  2. Step 2: Convert to fraction form
    3,141,831/4,835,218.50 = 4,835,218.50/x
  3. Step 3: Cross multiply
    3,141,831x = 4,835,218.50 × 4,835,218.50
  4. Step 4: Simplify right side
    3,141,831x = 23,379,337,942,742.25
  5. Step 5: Solve for x
    x = 23,379,337,942,742.25/3,141,831
  6. Step 6: Final answer
    x = 7,441,309.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.