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Finding the Third Proportional to 10,137,229 and 20,993,025

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Solution

The third proportional to 10,137,229 and 20,993,025 is: 43,474,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137,229 : 20,993,025 = 20,993,025 : x
  2. Step 2: Convert to fraction form
    10,137,229/20,993,025 = 20,993,025/x
  3. Step 3: Cross multiply
    10,137,229x = 20,993,025 × 20,993,025
  4. Step 4: Simplify right side
    10,137,229x = 440,707,098,650,625
  5. Step 5: Solve for x
    x = 440,707,098,650,625/10,137,229
  6. Step 6: Final answer
    x = 43,474,118.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.