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Finding the Third Proportional to 11,265,824 and 24,327,418

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Solution

The third proportional to 11,265,824 and 24,327,418 is: 52,532,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265,824 : 24,327,418 = 24,327,418 : x
  2. Step 2: Convert to fraction form
    11,265,824/24,327,418 = 24,327,418/x
  3. Step 3: Cross multiply
    11,265,824x = 24,327,418 × 24,327,418
  4. Step 4: Simplify right side
    11,265,824x = 591,823,266,546,724
  5. Step 5: Solve for x
    x = 591,823,266,546,724/11,265,824
  6. Step 6: Final answer
    x = 52,532,621.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.