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Finding the Third Proportional to 662,981,566 and 1,443,669,025

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Solution

The third proportional to 662,981,566 and 1,443,669,025 is: 3,143,647,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,981,566 : 1,443,669,025 = 1,443,669,025 : x
  2. Step 2: Convert to fraction form
    662,981,566/1,443,669,025 = 1,443,669,025/x
  3. Step 3: Cross multiply
    662,981,566x = 1,443,669,025 × 1,443,669,025
  4. Step 4: Simplify right side
    662,981,566x = 2,084,180,253,744,450,560
  5. Step 5: Solve for x
    x = 2,084,180,253,744,450,560/662,981,566
  6. Step 6: Final answer
    x = 3,143,647,366.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.