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Finding the Third Proportional to 12,031,689 and 25,981,044

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Solution

The third proportional to 12,031,689 and 25,981,044 is: 56,103,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,689 : 25,981,044 = 25,981,044 : x
  2. Step 2: Convert to fraction form
    12,031,689/25,981,044 = 25,981,044/x
  3. Step 3: Cross multiply
    12,031,689x = 25,981,044 × 25,981,044
  4. Step 4: Simplify right side
    12,031,689x = 675,014,647,329,936
  5. Step 5: Solve for x
    x = 675,014,647,329,936/12,031,689
  6. Step 6: Final answer
    x = 56,103,066.44

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Why These Related Problems?

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