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Finding the Third Proportional to 12,322,698 and 27,478,782

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Solution

The third proportional to 12,322,698 and 27,478,782 is: 61,275,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322,698 : 27,478,782 = 27,478,782 : x
  2. Step 2: Convert to fraction form
    12,322,698/27,478,782 = 27,478,782/x
  3. Step 3: Cross multiply
    12,322,698x = 27,478,782 × 27,478,782
  4. Step 4: Simplify right side
    12,322,698x = 755,083,460,203,524
  5. Step 5: Solve for x
    x = 755,083,460,203,524/12,322,698
  6. Step 6: Final answer
    x = 61,275,822.89

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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.