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Finding the Third Proportional to 12,299,829 and 27,010,005

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Solution

The third proportional to 12,299,829 and 27,010,005 is: 59,313,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299,829 : 27,010,005 = 27,010,005 : x
  2. Step 2: Convert to fraction form
    12,299,829/27,010,005 = 27,010,005/x
  3. Step 3: Cross multiply
    12,299,829x = 27,010,005 × 27,010,005
  4. Step 4: Simplify right side
    12,299,829x = 729,540,370,100,025
  5. Step 5: Solve for x
    x = 729,540,370,100,025/12,299,829
  6. Step 6: Final answer
    x = 59,313,049.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.