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Finding the Third Proportional to 10,257,170 and 16,241,966

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Solution

The third proportional to 10,257,170 and 16,241,966 is: 25,718,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,170 : 16,241,966 = 16,241,966 : x
  2. Step 2: Convert to fraction form
    10,257,170/16,241,966 = 16,241,966/x
  3. Step 3: Cross multiply
    10,257,170x = 16,241,966 × 16,241,966
  4. Step 4: Simplify right side
    10,257,170x = 263,801,459,545,156
  5. Step 5: Solve for x
    x = 263,801,459,545,156/10,257,170
  6. Step 6: Final answer
    x = 25,718,737.19

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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.