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Finding the Third Proportional to 6,741,702 and 14,857,652.25

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Solution

The third proportional to 6,741,702 and 14,857,652.25 is: 32,743,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741,702 : 14,857,652.25 = 14,857,652.25 : x
  2. Step 2: Convert to fraction form
    6,741,702/14,857,652.25 = 14,857,652.25/x
  3. Step 3: Cross multiply
    6,741,702x = 14,857,652.25 × 14,857,652.25
  4. Step 4: Simplify right side
    6,741,702x = 220,749,830,381,930.06
  5. Step 5: Solve for x
    x = 220,749,830,381,930.06/6,741,702
  6. Step 6: Final answer
    x = 32,743,931.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.