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Finding the Third Proportional to 3,084,047.16 and 6,682,927.78

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Solution

The third proportional to 3,084,047.16 and 6,682,927.78 is: 14,481,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,047.16 : 6,682,927.78 = 6,682,927.78 : x
  2. Step 2: Convert to fraction form
    3,084,047.16/6,682,927.78 = 6,682,927.78/x
  3. Step 3: Cross multiply
    3,084,047.16x = 6,682,927.78 × 6,682,927.78
  4. Step 4: Simplify right side
    3,084,047.16x = 44,661,523,729,403.05
  5. Step 5: Solve for x
    x = 44,661,523,729,403.05/3,084,047.16
  6. Step 6: Final answer
    x = 14,481,465.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.