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Finding the Third Proportional to 12,322,674 and 27,478,734

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Solution

The third proportional to 12,322,674 and 27,478,734 is: 61,275,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322,674 : 27,478,734 = 27,478,734 : x
  2. Step 2: Convert to fraction form
    12,322,674/27,478,734 = 27,478,734/x
  3. Step 3: Cross multiply
    12,322,674x = 27,478,734 × 27,478,734
  4. Step 4: Simplify right side
    12,322,674x = 755,080,822,242,756
  5. Step 5: Solve for x
    x = 755,080,822,242,756/12,322,674
  6. Step 6: Final answer
    x = 61,275,728.16

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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.