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Finding the Third Proportional to 10,083,732 and 15,245,649

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Solution

The third proportional to 10,083,732 and 15,245,649 is: 23,049,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083,732 : 15,245,649 = 15,245,649 : x
  2. Step 2: Convert to fraction form
    10,083,732/15,245,649 = 15,245,649/x
  3. Step 3: Cross multiply
    10,083,732x = 15,245,649 × 15,245,649
  4. Step 4: Simplify right side
    10,083,732x = 232,429,813,431,201
  5. Step 5: Solve for x
    x = 232,429,813,431,201/10,083,732
  6. Step 6: Final answer
    x = 23,049,979.26

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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.