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Finding the Third Proportional to 12,325,105.13 and 19,233,796.78

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Solution

The third proportional to 12,325,105.13 and 19,233,796.78 is: 30,015,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325,105.13 : 19,233,796.78 = 19,233,796.78 : x
  2. Step 2: Convert to fraction form
    12,325,105.13/19,233,796.78 = 19,233,796.78/x
  3. Step 3: Cross multiply
    12,325,105.13x = 19,233,796.78 × 19,233,796.78
  4. Step 4: Simplify right side
    12,325,105.13x = 369,938,938,622,422.88
  5. Step 5: Solve for x
    x = 369,938,938,622,422.88/12,325,105.13
  6. Step 6: Final answer
    x = 30,015,073.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.