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Finding the Third Proportional to 1,930,015,448 and 4,213,972,256

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Solution

The third proportional to 1,930,015,448 and 4,213,972,256 is: 9,200,735,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930,015,448 : 4,213,972,256 = 4,213,972,256 : x
  2. Step 2: Convert to fraction form
    1,930,015,448/4,213,972,256 = 4,213,972,256/x
  3. Step 3: Cross multiply
    1,930,015,448x = 4,213,972,256 × 4,213,972,256
  4. Step 4: Simplify right side
    1,930,015,448x = 17,757,562,174,337,728,512
  5. Step 5: Solve for x
    x = 17,757,562,174,337,728,512/1,930,015,448
  6. Step 6: Final answer
    x = 9,200,735,772.73

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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.