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Finding the Third Proportional to 6,305,406 and 9,783,399

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Solution

The third proportional to 6,305,406 and 9,783,399 is: 15,179,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305,406 : 9,783,399 = 9,783,399 : x
  2. Step 2: Convert to fraction form
    6,305,406/9,783,399 = 9,783,399/x
  3. Step 3: Cross multiply
    6,305,406x = 9,783,399 × 9,783,399
  4. Step 4: Simplify right side
    6,305,406x = 95,714,895,993,201
  5. Step 5: Solve for x
    x = 95,714,895,993,201/6,305,406
  6. Step 6: Final answer
    x = 15,179,814.91

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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.