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Finding the Third Proportional to 11,105,449 and 24,762,946

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Solution

The third proportional to 11,105,449 and 24,762,946 is: 55,216,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105,449 : 24,762,946 = 24,762,946 : x
  2. Step 2: Convert to fraction form
    11,105,449/24,762,946 = 24,762,946/x
  3. Step 3: Cross multiply
    11,105,449x = 24,762,946 × 24,762,946
  4. Step 4: Simplify right side
    11,105,449x = 613,203,494,598,916
  5. Step 5: Solve for x
    x = 613,203,494,598,916/11,105,449
  6. Step 6: Final answer
    x = 55,216,452.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.