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Finding the Third Proportional to 13,858,731 and 29,234,070

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Solution

The third proportional to 13,858,731 and 29,234,070 is: 61,667,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858,731 : 29,234,070 = 29,234,070 : x
  2. Step 2: Convert to fraction form
    13,858,731/29,234,070 = 29,234,070/x
  3. Step 3: Cross multiply
    13,858,731x = 29,234,070 × 29,234,070
  4. Step 4: Simplify right side
    13,858,731x = 854,630,848,764,900
  5. Step 5: Solve for x
    x = 854,630,848,764,900/13,858,731
  6. Step 6: Final answer
    x = 61,667,323.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.