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Finding the Third Proportional to 10,227,732 and 22,725,519

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Solution

The third proportional to 10,227,732 and 22,725,519 is: 50,494,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227,732 : 22,725,519 = 22,725,519 : x
  2. Step 2: Convert to fraction form
    10,227,732/22,725,519 = 22,725,519/x
  3. Step 3: Cross multiply
    10,227,732x = 22,725,519 × 22,725,519
  4. Step 4: Simplify right side
    10,227,732x = 516,449,213,819,361
  5. Step 5: Solve for x
    x = 516,449,213,819,361/10,227,732
  6. Step 6: Final answer
    x = 50,494,988.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.