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Finding the Third Proportional to 5,163,264 and 11,222,064

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Solution

The third proportional to 5,163,264 and 11,222,064 is: 24,390,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163,264 : 11,222,064 = 11,222,064 : x
  2. Step 2: Convert to fraction form
    5,163,264/11,222,064 = 11,222,064/x
  3. Step 3: Cross multiply
    5,163,264x = 11,222,064 × 11,222,064
  4. Step 4: Simplify right side
    5,163,264x = 125,934,720,420,096
  5. Step 5: Solve for x
    x = 125,934,720,420,096/5,163,264
  6. Step 6: Final answer
    x = 24,390,525.14

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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.