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Finding the Third Proportional to 12,185,541 and 26,471,805.75

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Solution

The third proportional to 12,185,541 and 26,471,805.75 is: 57,507,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185,541 : 26,471,805.75 = 26,471,805.75 : x
  2. Step 2: Convert to fraction form
    12,185,541/26,471,805.75 = 26,471,805.75/x
  3. Step 3: Cross multiply
    12,185,541x = 26,471,805.75 × 26,471,805.75
  4. Step 4: Simplify right side
    12,185,541x = 700,756,499,665,733
  5. Step 5: Solve for x
    x = 700,756,499,665,733/12,185,541
  6. Step 6: Final answer
    x = 57,507,212.82

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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.