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Finding the Third Proportional to 3,687,391,960.82 and 8,110,277,506.23

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Solution

The third proportional to 3,687,391,960.82 and 8,110,277,506.23 is: 17,838,245,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687,391,960.82 : 8,110,277,506.23 = 8,110,277,506.23 : x
  2. Step 2: Convert to fraction form
    3,687,391,960.82/8,110,277,506.23 = 8,110,277,506.23/x
  3. Step 3: Cross multiply
    3,687,391,960.82x = 8,110,277,506.23 × 8,110,277,506.23
  4. Step 4: Simplify right side
    3,687,391,960.82x = 65,776,601,228,065,169,408
  5. Step 5: Solve for x
    x = 65,776,601,228,065,169,408/3,687,391,960.82
  6. Step 6: Final answer
    x = 17,838,245,005.39

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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.