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Finding the Third Proportional to 10,203,876 and 22,201,252

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Solution

The third proportional to 10,203,876 and 22,201,252 is: 48,304,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203,876 : 22,201,252 = 22,201,252 : x
  2. Step 2: Convert to fraction form
    10,203,876/22,201,252 = 22,201,252/x
  3. Step 3: Cross multiply
    10,203,876x = 22,201,252 × 22,201,252
  4. Step 4: Simplify right side
    10,203,876x = 492,895,590,367,504
  5. Step 5: Solve for x
    x = 492,895,590,367,504/10,203,876
  6. Step 6: Final answer
    x = 48,304,741.29

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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.