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Finding the Third Proportional to 12,322,532 and 27,478,420

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Solution

The third proportional to 12,322,532 and 27,478,420 is: 61,275,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322,532 : 27,478,420 = 27,478,420 : x
  2. Step 2: Convert to fraction form
    12,322,532/27,478,420 = 27,478,420/x
  3. Step 3: Cross multiply
    12,322,532x = 27,478,420 × 27,478,420
  4. Step 4: Simplify right side
    12,322,532x = 755,063,565,696,400
  5. Step 5: Solve for x
    x = 755,063,565,696,400/12,322,532
  6. Step 6: Final answer
    x = 61,275,033.87

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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.