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Finding the Third Proportional to 12,322,656 and 27,478,704

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Solution

The third proportional to 12,322,656 and 27,478,704 is: 61,275,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322,656 : 27,478,704 = 27,478,704 : x
  2. Step 2: Convert to fraction form
    12,322,656/27,478,704 = 27,478,704/x
  3. Step 3: Cross multiply
    12,322,656x = 27,478,704 × 27,478,704
  4. Step 4: Simplify right side
    12,322,656x = 755,079,173,519,616
  5. Step 5: Solve for x
    x = 755,079,173,519,616/12,322,656
  6. Step 6: Final answer
    x = 61,275,683.87

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Why These Related Problems?

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