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Finding the Third Proportional to 10,203,550 and 22,397,512

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Solution

The third proportional to 10,203,550 and 22,397,512 is: 49,164,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203,550 : 22,397,512 = 22,397,512 : x
  2. Step 2: Convert to fraction form
    10,203,550/22,397,512 = 22,397,512/x
  3. Step 3: Cross multiply
    10,203,550x = 22,397,512 × 22,397,512
  4. Step 4: Simplify right side
    10,203,550x = 501,648,543,790,144
  5. Step 5: Solve for x
    x = 501,648,543,790,144/10,203,550
  6. Step 6: Final answer
    x = 49,164,118.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.