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Finding the Third Proportional to 6,283,892.50 and 9,608,449

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Solution

The third proportional to 6,283,892.50 and 9,608,449 is: 14,691,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,892.50 : 9,608,449 = 9,608,449 : x
  2. Step 2: Convert to fraction form
    6,283,892.50/9,608,449 = 9,608,449/x
  3. Step 3: Cross multiply
    6,283,892.50x = 9,608,449 × 9,608,449
  4. Step 4: Simplify right side
    6,283,892.50x = 92,322,292,185,601
  5. Step 5: Solve for x
    x = 92,322,292,185,601/6,283,892.50
  6. Step 6: Final answer
    x = 14,691,895.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.