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Finding the Third Proportional to 12,322,651.50 and 27,478,683

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Solution

The third proportional to 12,322,651.50 and 27,478,683 is: 61,275,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322,651.50 : 27,478,683 = 27,478,683 : x
  2. Step 2: Convert to fraction form
    12,322,651.50/27,478,683 = 27,478,683/x
  3. Step 3: Cross multiply
    12,322,651.50x = 27,478,683 × 27,478,683
  4. Step 4: Simplify right side
    12,322,651.50x = 755,078,019,414,489
  5. Step 5: Solve for x
    x = 755,078,019,414,489/12,322,651.50
  6. Step 6: Final answer
    x = 61,275,612.59

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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.