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Finding the Third Proportional to 10,008,144 and 21,851,451

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Solution

The third proportional to 10,008,144 and 21,851,451 is: 47,709,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008,144 : 21,851,451 = 21,851,451 : x
  2. Step 2: Convert to fraction form
    10,008,144/21,851,451 = 21,851,451/x
  3. Step 3: Cross multiply
    10,008,144x = 21,851,451 × 21,851,451
  4. Step 4: Simplify right side
    10,008,144x = 477,485,910,805,401
  5. Step 5: Solve for x
    x = 477,485,910,805,401/10,008,144
  6. Step 6: Final answer
    x = 47,709,736.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.