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Finding the Third Proportional to 4,548,754.97 and 9,894,671.44

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Solution

The third proportional to 4,548,754.97 and 9,894,671.44 is: 21,523,367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548,754.97 : 9,894,671.44 = 9,894,671.44 : x
  2. Step 2: Convert to fraction form
    4,548,754.97/9,894,671.44 = 9,894,671.44/x
  3. Step 3: Cross multiply
    4,548,754.97x = 9,894,671.44 × 9,894,671.44
  4. Step 4: Simplify right side
    4,548,754.97x = 97,904,522,856,078.31
  5. Step 5: Solve for x
    x = 97,904,522,856,078.31/4,548,754.97
  6. Step 6: Final answer
    x = 21,523,367.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.