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Finding the Third Proportional to 19,188,209.25 and 31,329,297

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Solution

The third proportional to 19,188,209.25 and 31,329,297 is: 51,152,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,188,209.25 : 31,329,297 = 31,329,297 : x
  2. Step 2: Convert to fraction form
    19,188,209.25/31,329,297 = 31,329,297/x
  3. Step 3: Cross multiply
    19,188,209.25x = 31,329,297 × 31,329,297
  4. Step 4: Simplify right side
    19,188,209.25x = 981,524,850,514,209
  5. Step 5: Solve for x
    x = 981,524,850,514,209/19,188,209.25
  6. Step 6: Final answer
    x = 51,152,498.79

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.