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Finding the Third Proportional to 5,911,297.50 and 12,794,163

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Solution

The third proportional to 5,911,297.50 and 12,794,163 is: 27,691,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911,297.50 : 12,794,163 = 12,794,163 : x
  2. Step 2: Convert to fraction form
    5,911,297.50/12,794,163 = 12,794,163/x
  3. Step 3: Cross multiply
    5,911,297.50x = 12,794,163 × 12,794,163
  4. Step 4: Simplify right side
    5,911,297.50x = 163,690,606,870,569
  5. Step 5: Solve for x
    x = 163,690,606,870,569/5,911,297.50
  6. Step 6: Final answer
    x = 27,691,146.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.