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Finding the Third Proportional to 5,230,602 and 11,286,916

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Solution

The third proportional to 5,230,602 and 11,286,916 is: 24,355,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230,602 : 11,286,916 = 11,286,916 : x
  2. Step 2: Convert to fraction form
    5,230,602/11,286,916 = 11,286,916/x
  3. Step 3: Cross multiply
    5,230,602x = 11,286,916 × 11,286,916
  4. Step 4: Simplify right side
    5,230,602x = 127,394,472,791,056
  5. Step 5: Solve for x
    x = 127,394,472,791,056/5,230,602
  6. Step 6: Final answer
    x = 24,355,604.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.