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Finding the Third Proportional to 5,992,953 and 12,994,296

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Solution

The third proportional to 5,992,953 and 12,994,296 is: 28,175,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992,953 : 12,994,296 = 12,994,296 : x
  2. Step 2: Convert to fraction form
    5,992,953/12,994,296 = 12,994,296/x
  3. Step 3: Cross multiply
    5,992,953x = 12,994,296 × 12,994,296
  4. Step 4: Simplify right side
    5,992,953x = 168,851,728,535,616
  5. Step 5: Solve for x
    x = 168,851,728,535,616/5,992,953
  6. Step 6: Final answer
    x = 28,175,046.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.