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Finding the Third Proportional to 10,331,058 and 22,522,256

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Solution

The third proportional to 10,331,058 and 22,522,256 is: 49,099,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331,058 : 22,522,256 = 22,522,256 : x
  2. Step 2: Convert to fraction form
    10,331,058/22,522,256 = 22,522,256/x
  3. Step 3: Cross multiply
    10,331,058x = 22,522,256 × 22,522,256
  4. Step 4: Simplify right side
    10,331,058x = 507,252,015,329,536
  5. Step 5: Solve for x
    x = 507,252,015,329,536/10,331,058
  6. Step 6: Final answer
    x = 49,099,716.15

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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.