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Finding the Third Proportional to 2,243,317,682 and 5,192,874,243

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Solution

The third proportional to 2,243,317,682 and 5,192,874,243 is: 12,020,563,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,317,682 : 5,192,874,243 = 5,192,874,243 : x
  2. Step 2: Convert to fraction form
    2,243,317,682/5,192,874,243 = 5,192,874,243/x
  3. Step 3: Cross multiply
    2,243,317,682x = 5,192,874,243 × 5,192,874,243
  4. Step 4: Simplify right side
    2,243,317,682x = 26,965,942,903,612,821,504
  5. Step 5: Solve for x
    x = 26,965,942,903,612,821,504/2,243,317,682
  6. Step 6: Final answer
    x = 12,020,563,614.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.