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Finding the Third Proportional to 12,185,550 and 26,471,824

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Solution

The third proportional to 12,185,550 and 26,471,824 is: 57,507,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185,550 : 26,471,824 = 26,471,824 : x
  2. Step 2: Convert to fraction form
    12,185,550/26,471,824 = 26,471,824/x
  3. Step 3: Cross multiply
    12,185,550x = 26,471,824 × 26,471,824
  4. Step 4: Simplify right side
    12,185,550x = 700,757,465,886,976
  5. Step 5: Solve for x
    x = 700,757,465,886,976/12,185,550
  6. Step 6: Final answer
    x = 57,507,249.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.