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Finding the Third Proportional to 1,571,505,861.75 and 3,422,018,249.75

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Solution

The third proportional to 1,571,505,861.75 and 3,422,018,249.75 is: 7,451,584,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,505,861.75 : 3,422,018,249.75 = 3,422,018,249.75 : x
  2. Step 2: Convert to fraction form
    1,571,505,861.75/3,422,018,249.75 = 3,422,018,249.75/x
  3. Step 3: Cross multiply
    1,571,505,861.75x = 3,422,018,249.75 × 3,422,018,249.75
  4. Step 4: Simplify right side
    1,571,505,861.75x = 11,710,208,901,622,052,864
  5. Step 5: Solve for x
    x = 11,710,208,901,622,052,864/1,571,505,861.75
  6. Step 6: Final answer
    x = 7,451,584,614.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.