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Finding the Third Proportional to 10,228,981 and 15,449,729

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Solution

The third proportional to 10,228,981 and 15,449,729 is: 23,335,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228,981 : 15,449,729 = 15,449,729 : x
  2. Step 2: Convert to fraction form
    10,228,981/15,449,729 = 15,449,729/x
  3. Step 3: Cross multiply
    10,228,981x = 15,449,729 × 15,449,729
  4. Step 4: Simplify right side
    10,228,981x = 238,694,126,173,441
  5. Step 5: Solve for x
    x = 238,694,126,173,441/10,228,981
  6. Step 6: Final answer
    x = 23,335,083.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.