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Finding the Third Proportional to 12,345,860 and 27,082,216

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Solution

The third proportional to 12,345,860 and 27,082,216 is: 59,408,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345,860 : 27,082,216 = 27,082,216 : x
  2. Step 2: Convert to fraction form
    12,345,860/27,082,216 = 27,082,216/x
  3. Step 3: Cross multiply
    12,345,860x = 27,082,216 × 27,082,216
  4. Step 4: Simplify right side
    12,345,860x = 733,446,423,470,656
  5. Step 5: Solve for x
    x = 733,446,423,470,656/12,345,860
  6. Step 6: Final answer
    x = 59,408,289.38

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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.