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Finding the Third Proportional to 4,972,565,832 and 7,457,022,828

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Solution

The third proportional to 4,972,565,832 and 7,457,022,828 is: 11,182,796,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972,565,832 : 7,457,022,828 = 7,457,022,828 : x
  2. Step 2: Convert to fraction form
    4,972,565,832/7,457,022,828 = 7,457,022,828/x
  3. Step 3: Cross multiply
    4,972,565,832x = 7,457,022,828 × 7,457,022,828
  4. Step 4: Simplify right side
    4,972,565,832x = 55,607,189,457,313,120,256
  5. Step 5: Solve for x
    x = 55,607,189,457,313,120,256/4,972,565,832
  6. Step 6: Final answer
    x = 11,182,796,032.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.