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Finding the Third Proportional to 3,194,780 and 6,949,322

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Solution

The third proportional to 3,194,780 and 6,949,322 is: 15,116,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,780 : 6,949,322 = 6,949,322 : x
  2. Step 2: Convert to fraction form
    3,194,780/6,949,322 = 6,949,322/x
  3. Step 3: Cross multiply
    3,194,780x = 6,949,322 × 6,949,322
  4. Step 4: Simplify right side
    3,194,780x = 48,293,076,259,684
  5. Step 5: Solve for x
    x = 48,293,076,259,684/3,194,780
  6. Step 6: Final answer
    x = 15,116,244.71

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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.