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Finding the Third Proportional to 21,841,681 and 47,396,025

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Solution

The third proportional to 21,841,681 and 47,396,025 is: 102,848,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841,681 : 47,396,025 = 47,396,025 : x
  2. Step 2: Convert to fraction form
    21,841,681/47,396,025 = 47,396,025/x
  3. Step 3: Cross multiply
    21,841,681x = 47,396,025 × 47,396,025
  4. Step 4: Simplify right side
    21,841,681x = 2,246,383,185,800,625
  5. Step 5: Solve for x
    x = 2,246,383,185,800,625/21,841,681
  6. Step 6: Final answer
    x = 102,848,456.85

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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.