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Finding the Third Proportional to 3,767,930,259,384 and 8,217,816,241,488

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Solution

The third proportional to 3,767,930,259,384 and 8,217,816,241,488 is: 17,922,970,737,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767,930,259,384 : 8,217,816,241,488 = 8,217,816,241,488 : x
  2. Step 2: Convert to fraction form
    3,767,930,259,384/8,217,816,241,488 = 8,217,816,241,488/x
  3. Step 3: Cross multiply
    3,767,930,259,384x = 8,217,816,241,488 × 8,217,816,241,488
  4. Step 4: Simplify right side
    3,767,930,259,384x = 67,532,503,778,863,956,558,348,288
  5. Step 5: Solve for x
    x = 67,532,503,778,863,956,558,348,288/3,767,930,259,384
  6. Step 6: Final answer
    x = 17,922,970,737,230.29

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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.