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Finding the Third Proportional to 679,696,521.75 and 1,463,978,959.31

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Solution

The third proportional to 679,696,521.75 and 1,463,978,959.31 is: 3,153,222,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,696,521.75 : 1,463,978,959.31 = 1,463,978,959.31 : x
  2. Step 2: Convert to fraction form
    679,696,521.75/1,463,978,959.31 = 1,463,978,959.31/x
  3. Step 3: Cross multiply
    679,696,521.75x = 1,463,978,959.31 × 1,463,978,959.31
  4. Step 4: Simplify right side
    679,696,521.75x = 2,143,234,393,309,710,592
  5. Step 5: Solve for x
    x = 2,143,234,393,309,710,592/679,696,521.75
  6. Step 6: Final answer
    x = 3,153,222,540.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.