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Finding the Third Proportional to 10,257,167 and 16,241,961

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Solution

The third proportional to 10,257,167 and 16,241,961 is: 25,718,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,167 : 16,241,961 = 16,241,961 : x
  2. Step 2: Convert to fraction form
    10,257,167/16,241,961 = 16,241,961/x
  3. Step 3: Cross multiply
    10,257,167x = 16,241,961 × 16,241,961
  4. Step 4: Simplify right side
    10,257,167x = 263,801,297,125,521
  5. Step 5: Solve for x
    x = 263,801,297,125,521/10,257,167
  6. Step 6: Final answer
    x = 25,718,728.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.