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Finding the Third Proportional to 814,225,270.50 and 1,777,769,553.94

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Solution

The third proportional to 814,225,270.50 and 1,777,769,553.94 is: 3,881,560,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,225,270.50 : 1,777,769,553.94 = 1,777,769,553.94 : x
  2. Step 2: Convert to fraction form
    814,225,270.50/1,777,769,553.94 = 1,777,769,553.94/x
  3. Step 3: Cross multiply
    814,225,270.50x = 1,777,769,553.94 × 1,777,769,553.94
  4. Step 4: Simplify right side
    814,225,270.50x = 3,160,464,586,907,137,536
  5. Step 5: Solve for x
    x = 3,160,464,586,907,137,536/814,225,270.50
  6. Step 6: Final answer
    x = 3,881,560,424.88

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Why These Related Problems?

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