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Finding the Third Proportional to 3,929,792,180 and 8,522,640,073

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Solution

The third proportional to 3,929,792,180 and 8,522,640,073 is: 18,483,265,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929,792,180 : 8,522,640,073 = 8,522,640,073 : x
  2. Step 2: Convert to fraction form
    3,929,792,180/8,522,640,073 = 8,522,640,073/x
  3. Step 3: Cross multiply
    3,929,792,180x = 8,522,640,073 × 8,522,640,073
  4. Step 4: Simplify right side
    3,929,792,180x = 72,635,393,813,905,448,960
  5. Step 5: Solve for x
    x = 72,635,393,813,905,448,960/3,929,792,180
  6. Step 6: Final answer
    x = 18,483,265,904.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.