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Finding the Third Proportional to 6,283,797.75 and 9,608,463

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Solution

The third proportional to 6,283,797.75 and 9,608,463 is: 14,692,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,797.75 : 9,608,463 = 9,608,463 : x
  2. Step 2: Convert to fraction form
    6,283,797.75/9,608,463 = 9,608,463/x
  3. Step 3: Cross multiply
    6,283,797.75x = 9,608,463 × 9,608,463
  4. Step 4: Simplify right side
    6,283,797.75x = 92,322,561,222,369
  5. Step 5: Solve for x
    x = 92,322,561,222,369/6,283,797.75
  6. Step 6: Final answer
    x = 14,692,159.88

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