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Finding the Third Proportional to 8,124,033,760 and 17,690,324,128

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Solution

The third proportional to 8,124,033,760 and 17,690,324,128 is: 38,521,204,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124,033,760 : 17,690,324,128 = 17,690,324,128 : x
  2. Step 2: Convert to fraction form
    8,124,033,760/17,690,324,128 = 17,690,324,128/x
  3. Step 3: Cross multiply
    8,124,033,760x = 17,690,324,128 × 17,690,324,128
  4. Step 4: Simplify right side
    8,124,033,760x = 312,947,567,753,698,934,784
  5. Step 5: Solve for x
    x = 312,947,567,753,698,934,784/8,124,033,760
  6. Step 6: Final answer
    x = 38,521,204,736.32

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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.