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Finding the Third Proportional to 3,334,774 and 6,787,412

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Solution

The third proportional to 3,334,774 and 6,787,412 is: 13,814,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334,774 : 6,787,412 = 6,787,412 : x
  2. Step 2: Convert to fraction form
    3,334,774/6,787,412 = 6,787,412/x
  3. Step 3: Cross multiply
    3,334,774x = 6,787,412 × 6,787,412
  4. Step 4: Simplify right side
    3,334,774x = 46,068,961,657,744
  5. Step 5: Solve for x
    x = 46,068,961,657,744/3,334,774
  6. Step 6: Final answer
    x = 13,814,717.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.