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Finding the Third Proportional to 39,987,475,690 and 83,284,691,224

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Solution

The third proportional to 39,987,475,690 and 83,284,691,224 is: 173,462,807,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,987,475,690 : 83,284,691,224 = 83,284,691,224 : x
  2. Step 2: Convert to fraction form
    39,987,475,690/83,284,691,224 = 83,284,691,224/x
  3. Step 3: Cross multiply
    39,987,475,690x = 83,284,691,224 × 83,284,691,224
  4. Step 4: Simplify right side
    39,987,475,690x = 6,936,339,792,277,022,965,760
  5. Step 5: Solve for x
    x = 6,936,339,792,277,022,965,760/39,987,475,690
  6. Step 6: Final answer
    x = 173,462,807,356.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.