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Finding the Third Proportional to 37,400,480,472 and 82,280,982,804

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Solution

The third proportional to 37,400,480,472 and 82,280,982,804 is: 181,017,998,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,400,480,472 : 82,280,982,804 = 82,280,982,804 : x
  2. Step 2: Convert to fraction form
    37,400,480,472/82,280,982,804 = 82,280,982,804/x
  3. Step 3: Cross multiply
    37,400,480,472x = 82,280,982,804 × 82,280,982,804
  4. Step 4: Simplify right side
    37,400,480,472x = 6,770,160,131,192,143,216,640
  5. Step 5: Solve for x
    x = 6,770,160,131,192,143,216,640/37,400,480,472
  6. Step 6: Final answer
    x = 181,017,998,853.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.