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Finding the Third Proportional to 10,623,744 and 22,795,884

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Solution

The third proportional to 10,623,744 and 22,795,884 is: 48,914,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623,744 : 22,795,884 = 22,795,884 : x
  2. Step 2: Convert to fraction form
    10,623,744/22,795,884 = 22,795,884/x
  3. Step 3: Cross multiply
    10,623,744x = 22,795,884 × 22,795,884
  4. Step 4: Simplify right side
    10,623,744x = 519,652,327,341,456
  5. Step 5: Solve for x
    x = 519,652,327,341,456/10,623,744
  6. Step 6: Final answer
    x = 48,914,236.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.