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Finding the Third Proportional to 5,238,121.50 and 8,081,469

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Solution

The third proportional to 5,238,121.50 and 8,081,469 is: 12,468,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238,121.50 : 8,081,469 = 8,081,469 : x
  2. Step 2: Convert to fraction form
    5,238,121.50/8,081,469 = 8,081,469/x
  3. Step 3: Cross multiply
    5,238,121.50x = 8,081,469 × 8,081,469
  4. Step 4: Simplify right side
    5,238,121.50x = 65,310,141,197,961
  5. Step 5: Solve for x
    x = 65,310,141,197,961/5,238,121.50
  6. Step 6: Final answer
    x = 12,468,237.17

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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.