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Finding the Third Proportional to 234,474,756 and 501,218,106

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Solution

The third proportional to 234,474,756 and 501,218,106 is: 1,071,414,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,474,756 : 501,218,106 = 501,218,106 : x
  2. Step 2: Convert to fraction form
    234,474,756/501,218,106 = 501,218,106/x
  3. Step 3: Cross multiply
    234,474,756x = 501,218,106 × 501,218,106
  4. Step 4: Simplify right side
    234,474,756x = 251,219,589,782,227,232
  5. Step 5: Solve for x
    x = 251,219,589,782,227,232/234,474,756
  6. Step 6: Final answer
    x = 1,071,414,228.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.