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Finding the Third Proportional to 2,751,268 and 6,033,431

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Solution

The third proportional to 2,751,268 and 6,033,431 is: 13,231,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751,268 : 6,033,431 = 6,033,431 : x
  2. Step 2: Convert to fraction form
    2,751,268/6,033,431 = 6,033,431/x
  3. Step 3: Cross multiply
    2,751,268x = 6,033,431 × 6,033,431
  4. Step 4: Simplify right side
    2,751,268x = 36,402,289,631,761
  5. Step 5: Solve for x
    x = 36,402,289,631,761/2,751,268
  6. Step 6: Final answer
    x = 13,231,095.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.