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Finding the Third Proportional to 14,231,169 and 31,204,836

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Solution

The third proportional to 14,231,169 and 31,204,836 is: 68,423,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231,169 : 31,204,836 = 31,204,836 : x
  2. Step 2: Convert to fraction form
    14,231,169/31,204,836 = 31,204,836/x
  3. Step 3: Cross multiply
    14,231,169x = 31,204,836 × 31,204,836
  4. Step 4: Simplify right side
    14,231,169x = 973,741,789,786,896
  5. Step 5: Solve for x
    x = 973,741,789,786,896/14,231,169
  6. Step 6: Final answer
    x = 68,423,176.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.