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Finding the Third Proportional to 6,850,431 and 14,734,218.75

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Solution

The third proportional to 6,850,431 and 14,734,218.75 is: 31,691,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850,431 : 14,734,218.75 = 14,734,218.75 : x
  2. Step 2: Convert to fraction form
    6,850,431/14,734,218.75 = 14,734,218.75/x
  3. Step 3: Cross multiply
    6,850,431x = 14,734,218.75 × 14,734,218.75
  4. Step 4: Simplify right side
    6,850,431x = 217,097,202,172,851.56
  5. Step 5: Solve for x
    x = 217,097,202,172,851.56/6,850,431
  6. Step 6: Final answer
    x = 31,691,028.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.