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Finding the Third Proportional to 269,915,461,014 and 562,171,665,978

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Solution

The third proportional to 269,915,461,014 and 562,171,665,978 is: 1,170,873,950,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,915,461,014 : 562,171,665,978 = 562,171,665,978 : x
  2. Step 2: Convert to fraction form
    269,915,461,014/562,171,665,978 = 562,171,665,978/x
  3. Step 3: Cross multiply
    269,915,461,014x = 562,171,665,978 × 562,171,665,978
  4. Step 4: Simplify right side
    269,915,461,014x = 316,036,982,028,479,978,536,960
  5. Step 5: Solve for x
    x = 316,036,982,028,479,978,536,960/269,915,461,014
  6. Step 6: Final answer
    x = 1,170,873,950,092.42

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