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Finding the Third Proportional to 11,420,064 and 16,814,592

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Solution

The third proportional to 11,420,064 and 16,814,592 is: 24,757,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420,064 : 16,814,592 = 16,814,592 : x
  2. Step 2: Convert to fraction form
    11,420,064/16,814,592 = 16,814,592/x
  3. Step 3: Cross multiply
    11,420,064x = 16,814,592 × 16,814,592
  4. Step 4: Simplify right side
    11,420,064x = 282,730,504,126,464
  5. Step 5: Solve for x
    x = 282,730,504,126,464/11,420,064
  6. Step 6: Final answer
    x = 24,757,348.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.