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Finding the Third Proportional to 14,138,384.50 and 30,796,162

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Solution

The third proportional to 14,138,384.50 and 30,796,162 is: 67,080,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138,384.50 : 30,796,162 = 30,796,162 : x
  2. Step 2: Convert to fraction form
    14,138,384.50/30,796,162 = 30,796,162/x
  3. Step 3: Cross multiply
    14,138,384.50x = 30,796,162 × 30,796,162
  4. Step 4: Simplify right side
    14,138,384.50x = 948,403,593,930,244
  5. Step 5: Solve for x
    x = 948,403,593,930,244/14,138,384.50
  6. Step 6: Final answer
    x = 67,080,053.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.