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Finding the Third Proportional to 7,840,999.97 and 16,984,922.91

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Solution

The third proportional to 7,840,999.97 and 16,984,922.91 is: 36,792,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840,999.97 : 16,984,922.91 = 16,984,922.91 : x
  2. Step 2: Convert to fraction form
    7,840,999.97/16,984,922.91 = 16,984,922.91/x
  3. Step 3: Cross multiply
    7,840,999.97x = 16,984,922.91 × 16,984,922.91
  4. Step 4: Simplify right side
    7,840,999.97x = 288,487,606,131,255.94
  5. Step 5: Solve for x
    x = 288,487,606,131,255.94/7,840,999.97
  6. Step 6: Final answer
    x = 36,792,195.80

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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.