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Finding the Third Proportional to 87,662,837,700 and 135,519,930,492

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Solution

The third proportional to 87,662,837,700 and 135,519,930,492 is: 209,503,274,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,662,837,700 : 135,519,930,492 = 135,519,930,492 : x
  2. Step 2: Convert to fraction form
    87,662,837,700/135,519,930,492 = 135,519,930,492/x
  3. Step 3: Cross multiply
    87,662,837,700x = 135,519,930,492 × 135,519,930,492
  4. Step 4: Simplify right side
    87,662,837,700x = 18,365,651,560,556,511,887,360
  5. Step 5: Solve for x
    x = 18,365,651,560,556,511,887,360/87,662,837,700
  6. Step 6: Final answer
    x = 209,503,274,619.14

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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.