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Finding the Third Proportional to 5,627,401 and 11,453,678

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Solution

The third proportional to 5,627,401 and 11,453,678 is: 23,312,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627,401 : 11,453,678 = 11,453,678 : x
  2. Step 2: Convert to fraction form
    5,627,401/11,453,678 = 11,453,678/x
  3. Step 3: Cross multiply
    5,627,401x = 11,453,678 × 11,453,678
  4. Step 4: Simplify right side
    5,627,401x = 131,186,739,727,684
  5. Step 5: Solve for x
    x = 131,186,739,727,684/5,627,401
  6. Step 6: Final answer
    x = 23,312,136.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.