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Finding the Third Proportional to 69,895,848 and 109,407,069

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Solution

The third proportional to 69,895,848 and 109,407,069 is: 171,253,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,895,848 : 109,407,069 = 109,407,069 : x
  2. Step 2: Convert to fraction form
    69,895,848/109,407,069 = 109,407,069/x
  3. Step 3: Cross multiply
    69,895,848x = 109,407,069 × 109,407,069
  4. Step 4: Simplify right side
    69,895,848x = 11,969,906,747,170,760
  5. Step 5: Solve for x
    x = 11,969,906,747,170,760/69,895,848
  6. Step 6: Final answer
    x = 171,253,473.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.