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Finding the Third Proportional to 8,434,858,099 and 17,567,864,437

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Solution

The third proportional to 8,434,858,099 and 17,567,864,437 is: 36,589,810,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434,858,099 : 17,567,864,437 = 17,567,864,437 : x
  2. Step 2: Convert to fraction form
    8,434,858,099/17,567,864,437 = 17,567,864,437/x
  3. Step 3: Cross multiply
    8,434,858,099x = 17,567,864,437 × 17,567,864,437
  4. Step 4: Simplify right side
    8,434,858,099x = 308,629,860,876,809,338,880
  5. Step 5: Solve for x
    x = 308,629,860,876,809,338,880/8,434,858,099
  6. Step 6: Final answer
    x = 36,589,810,670.72

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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.