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Finding the Third Proportional to 8,434,859,700.50 and 17,567,867,757

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Solution

The third proportional to 8,434,859,700.50 and 17,567,867,757 is: 36,589,817,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434,859,700.50 : 17,567,867,757 = 17,567,867,757 : x
  2. Step 2: Convert to fraction form
    8,434,859,700.50/17,567,867,757 = 17,567,867,757/x
  3. Step 3: Cross multiply
    8,434,859,700.50x = 17,567,867,757 × 17,567,867,757
  4. Step 4: Simplify right side
    8,434,859,700.50x = 308,629,977,527,440,179,200
  5. Step 5: Solve for x
    x = 308,629,977,527,440,179,200/8,434,859,700.50
  6. Step 6: Final answer
    x = 36,589,817,553.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.