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Finding the Third Proportional to 12,322,665 and 27,478,716

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Solution

The third proportional to 12,322,665 and 27,478,716 is: 61,275,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322,665 : 27,478,716 = 27,478,716 : x
  2. Step 2: Convert to fraction form
    12,322,665/27,478,716 = 27,478,716/x
  3. Step 3: Cross multiply
    12,322,665x = 27,478,716 × 27,478,716
  4. Step 4: Simplify right side
    12,322,665x = 755,079,833,008,656
  5. Step 5: Solve for x
    x = 755,079,833,008,656/12,322,665
  6. Step 6: Final answer
    x = 61,275,692.64

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.