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Finding the Third Proportional to 509,595,129,590 and 763,647,259,665

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Solution

The third proportional to 509,595,129,590 and 763,647,259,665 is: 1,144,353,827,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,595,129,590 : 763,647,259,665 = 763,647,259,665 : x
  2. Step 2: Convert to fraction form
    509,595,129,590/763,647,259,665 = 763,647,259,665/x
  3. Step 3: Cross multiply
    509,595,129,590x = 763,647,259,665 × 763,647,259,665
  4. Step 4: Simplify right side
    509,595,129,590x = 583,157,137,193,863,936,475,136
  5. Step 5: Solve for x
    x = 583,157,137,193,863,936,475,136/509,595,129,590
  6. Step 6: Final answer
    x = 1,144,353,827,837.89

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