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Finding the Third Proportional to 10,227,734 and 22,725,523

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Solution

The third proportional to 10,227,734 and 22,725,523 is: 50,494,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227,734 : 22,725,523 = 22,725,523 : x
  2. Step 2: Convert to fraction form
    10,227,734/22,725,523 = 22,725,523/x
  3. Step 3: Cross multiply
    10,227,734x = 22,725,523 × 22,725,523
  4. Step 4: Simplify right side
    10,227,734x = 516,449,395,623,529
  5. Step 5: Solve for x
    x = 516,449,395,623,529/10,227,734
  6. Step 6: Final answer
    x = 50,494,996.80

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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.