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Finding the Third Proportional to 8,434,858,097 and 17,567,864,433

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Solution

The third proportional to 8,434,858,097 and 17,567,864,433 is: 36,589,810,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434,858,097 : 17,567,864,433 = 17,567,864,433 : x
  2. Step 2: Convert to fraction form
    8,434,858,097/17,567,864,433 = 17,567,864,433/x
  3. Step 3: Cross multiply
    8,434,858,097x = 17,567,864,433 × 17,567,864,433
  4. Step 4: Simplify right side
    8,434,858,097x = 308,629,860,736,266,403,840
  5. Step 5: Solve for x
    x = 308,629,860,736,266,403,840/8,434,858,097
  6. Step 6: Final answer
    x = 36,589,810,662.73

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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.