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Finding the Third Proportional to 12,839,081 and 19,944,210

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Solution

The third proportional to 12,839,081 and 19,944,210 is: 30,981,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839,081 : 19,944,210 = 19,944,210 : x
  2. Step 2: Convert to fraction form
    12,839,081/19,944,210 = 19,944,210/x
  3. Step 3: Cross multiply
    12,839,081x = 19,944,210 × 19,944,210
  4. Step 4: Simplify right side
    12,839,081x = 397,771,512,524,100
  5. Step 5: Solve for x
    x = 397,771,512,524,100/12,839,081
  6. Step 6: Final answer
    x = 30,981,307.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.