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Finding the Third Proportional to 2,702,998.50 and 5,749,356

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Solution

The third proportional to 2,702,998.50 and 5,749,356 is: 12,229,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702,998.50 : 5,749,356 = 5,749,356 : x
  2. Step 2: Convert to fraction form
    2,702,998.50/5,749,356 = 5,749,356/x
  3. Step 3: Cross multiply
    2,702,998.50x = 5,749,356 × 5,749,356
  4. Step 4: Simplify right side
    2,702,998.50x = 33,055,094,414,736
  5. Step 5: Solve for x
    x = 33,055,094,414,736/2,702,998.50
  6. Step 6: Final answer
    x = 12,229,046.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.