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Finding the Third Proportional to 2,701,268 and 6,376,451

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Solution

The third proportional to 2,701,268 and 6,376,451 is: 15,051,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701,268 : 6,376,451 = 6,376,451 : x
  2. Step 2: Convert to fraction form
    2,701,268/6,376,451 = 6,376,451/x
  3. Step 3: Cross multiply
    2,701,268x = 6,376,451 × 6,376,451
  4. Step 4: Simplify right side
    2,701,268x = 40,659,127,355,401
  5. Step 5: Solve for x
    x = 40,659,127,355,401/2,701,268
  6. Step 6: Final answer
    x = 15,051,867.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.