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Finding the Third Proportional to 12,322,676 and 27,478,723

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Solution

The third proportional to 12,322,676 and 27,478,723 is: 61,275,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322,676 : 27,478,723 = 27,478,723 : x
  2. Step 2: Convert to fraction form
    12,322,676/27,478,723 = 27,478,723/x
  3. Step 3: Cross multiply
    12,322,676x = 27,478,723 × 27,478,723
  4. Step 4: Simplify right side
    12,322,676x = 755,080,217,710,729
  5. Step 5: Solve for x
    x = 755,080,217,710,729/12,322,676
  6. Step 6: Final answer
    x = 61,275,669.16

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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.