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Finding the Third Proportional to 3,274,303.50 and 6,887,945.25

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Solution

The third proportional to 3,274,303.50 and 6,887,945.25 is: 14,489,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274,303.50 : 6,887,945.25 = 6,887,945.25 : x
  2. Step 2: Convert to fraction form
    3,274,303.50/6,887,945.25 = 6,887,945.25/x
  3. Step 3: Cross multiply
    3,274,303.50x = 6,887,945.25 × 6,887,945.25
  4. Step 4: Simplify right side
    3,274,303.50x = 47,443,789,766,997.56
  5. Step 5: Solve for x
    x = 47,443,789,766,997.56/3,274,303.50
  6. Step 6: Final answer
    x = 14,489,734.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.