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Finding the Third Proportional to 17,185,412,160 and 37,015,169,760

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Solution

The third proportional to 17,185,412,160 and 37,015,169,760 is: 79,725,919,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185,412,160 : 37,015,169,760 = 37,015,169,760 : x
  2. Step 2: Convert to fraction form
    17,185,412,160/37,015,169,760 = 37,015,169,760/x
  3. Step 3: Cross multiply
    17,185,412,160x = 37,015,169,760 × 37,015,169,760
  4. Step 4: Simplify right side
    17,185,412,160x = 1,370,122,792,361,618,571,264
  5. Step 5: Solve for x
    x = 1,370,122,792,361,618,571,264/17,185,412,160
  6. Step 6: Final answer
    x = 79,725,919,844.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.