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Finding the Third Proportional to 1,377,393,709.50 and 2,812,601,007

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Solution

The third proportional to 1,377,393,709.50 and 2,812,601,007 is: 5,743,255,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,393,709.50 : 2,812,601,007 = 2,812,601,007 : x
  2. Step 2: Convert to fraction form
    1,377,393,709.50/2,812,601,007 = 2,812,601,007/x
  3. Step 3: Cross multiply
    1,377,393,709.50x = 2,812,601,007 × 2,812,601,007
  4. Step 4: Simplify right side
    1,377,393,709.50x = 7,910,724,424,577,414,144
  5. Step 5: Solve for x
    x = 7,910,724,424,577,414,144/1,377,393,709.50
  6. Step 6: Final answer
    x = 5,743,255,809.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.