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Finding the Third Proportional to 12,345,859 and 27,082,214

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Solution

The third proportional to 12,345,859 and 27,082,214 is: 59,408,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345,859 : 27,082,214 = 27,082,214 : x
  2. Step 2: Convert to fraction form
    12,345,859/27,082,214 = 27,082,214/x
  3. Step 3: Cross multiply
    12,345,859x = 27,082,214 × 27,082,214
  4. Step 4: Simplify right side
    12,345,859x = 733,446,315,141,796
  5. Step 5: Solve for x
    x = 733,446,315,141,796/12,345,859
  6. Step 6: Final answer
    x = 59,408,285.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.