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Finding the Third Proportional to 87,662,837,692 and 135,519,930,480

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Solution

The third proportional to 87,662,837,692 and 135,519,930,480 is: 209,503,274,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,662,837,692 : 135,519,930,480 = 135,519,930,480 : x
  2. Step 2: Convert to fraction form
    87,662,837,692/135,519,930,480 = 135,519,930,480/x
  3. Step 3: Cross multiply
    87,662,837,692x = 135,519,930,480 × 135,519,930,480
  4. Step 4: Simplify right side
    87,662,837,692x = 18,365,651,557,304,032,559,104
  5. Step 5: Solve for x
    x = 18,365,651,557,304,032,559,104/87,662,837,692
  6. Step 6: Final answer
    x = 209,503,274,601.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.