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Finding the Third Proportional to 17,792,480.25 and 38,847,964.50

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Solution

The third proportional to 17,792,480.25 and 38,847,964.50 is: 84,820,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,792,480.25 : 38,847,964.50 = 38,847,964.50 : x
  2. Step 2: Convert to fraction form
    17,792,480.25/38,847,964.50 = 38,847,964.50/x
  3. Step 3: Cross multiply
    17,792,480.25x = 38,847,964.50 × 38,847,964.50
  4. Step 4: Simplify right side
    17,792,480.25x = 1,509,164,345,793,260.25
  5. Step 5: Solve for x
    x = 1,509,164,345,793,260.25/17,792,480.25
  6. Step 6: Final answer
    x = 84,820,346.83

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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.