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Finding the Third Proportional to 6,305,378 and 9,783,355

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Solution

The third proportional to 6,305,378 and 9,783,355 is: 15,179,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305,378 : 9,783,355 = 9,783,355 : x
  2. Step 2: Convert to fraction form
    6,305,378/9,783,355 = 9,783,355/x
  3. Step 3: Cross multiply
    6,305,378x = 9,783,355 × 9,783,355
  4. Step 4: Simplify right side
    6,305,378x = 95,714,035,056,025
  5. Step 5: Solve for x
    x = 95,714,035,056,025/6,305,378
  6. Step 6: Final answer
    x = 15,179,745.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.