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Finding the Third Proportional to 12,031,684 and 25,981,036

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Solution

The third proportional to 12,031,684 and 25,981,036 is: 56,103,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,684 : 25,981,036 = 25,981,036 : x
  2. Step 2: Convert to fraction form
    12,031,684/25,981,036 = 25,981,036/x
  3. Step 3: Cross multiply
    12,031,684x = 25,981,036 × 25,981,036
  4. Step 4: Simplify right side
    12,031,684x = 675,014,231,633,296
  5. Step 5: Solve for x
    x = 675,014,231,633,296/12,031,684
  6. Step 6: Final answer
    x = 56,103,055.20

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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.