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Finding the Third Proportional to 12,031,682.25 and 25,981,032.75

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Solution

The third proportional to 12,031,682.25 and 25,981,032.75 is: 56,103,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,682.25 : 25,981,032.75 = 25,981,032.75 : x
  2. Step 2: Convert to fraction form
    12,031,682.25/25,981,032.75 = 25,981,032.75/x
  3. Step 3: Cross multiply
    12,031,682.25x = 25,981,032.75 × 25,981,032.75
  4. Step 4: Simplify right side
    12,031,682.25x = 675,014,062,756,572.50
  5. Step 5: Solve for x
    x = 675,014,062,756,572.50/12,031,682.25
  6. Step 6: Final answer
    x = 56,103,049.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.