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Finding the Third Proportional to 3,195,993 and 6,866,322

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Solution

The third proportional to 3,195,993 and 6,866,322 is: 14,751,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195,993 : 6,866,322 = 6,866,322 : x
  2. Step 2: Convert to fraction form
    3,195,993/6,866,322 = 6,866,322/x
  3. Step 3: Cross multiply
    3,195,993x = 6,866,322 × 6,866,322
  4. Step 4: Simplify right side
    3,195,993x = 47,146,377,807,684
  5. Step 5: Solve for x
    x = 47,146,377,807,684/3,195,993
  6. Step 6: Final answer
    x = 14,751,714.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.