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Finding the Third Proportional to 5,164,064 and 11,347,280

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Solution

The third proportional to 5,164,064 and 11,347,280 is: 24,933,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164,064 : 11,347,280 = 11,347,280 : x
  2. Step 2: Convert to fraction form
    5,164,064/11,347,280 = 11,347,280/x
  3. Step 3: Cross multiply
    5,164,064x = 11,347,280 × 11,347,280
  4. Step 4: Simplify right side
    5,164,064x = 128,760,763,398,400
  5. Step 5: Solve for x
    x = 128,760,763,398,400/5,164,064
  6. Step 6: Final answer
    x = 24,933,998.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.