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Finding the Third Proportional to 493,608,620,978 and 695,109,709,775

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Solution

The third proportional to 493,608,620,978 and 695,109,709,775 is: 978,867,645,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,608,620,978 : 695,109,709,775 = 695,109,709,775 : x
  2. Step 2: Convert to fraction form
    493,608,620,978/695,109,709,775 = 695,109,709,775/x
  3. Step 3: Cross multiply
    493,608,620,978x = 695,109,709,775 × 695,109,709,775
  4. Step 4: Simplify right side
    493,608,620,978x = 483,177,508,623,484,733,882,368
  5. Step 5: Solve for x
    x = 483,177,508,623,484,733,882,368/493,608,620,978
  6. Step 6: Final answer
    x = 978,867,645,516.71

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