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Finding the Third Proportional to 725,540,636.81 and 1,481,534,519.63

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Solution

The third proportional to 725,540,636.81 and 1,481,534,519.63 is: 3,025,253,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,540,636.81 : 1,481,534,519.63 = 1,481,534,519.63 : x
  2. Step 2: Convert to fraction form
    725,540,636.81/1,481,534,519.63 = 1,481,534,519.63/x
  3. Step 3: Cross multiply
    725,540,636.81x = 1,481,534,519.63 × 1,481,534,519.63
  4. Step 4: Simplify right side
    725,540,636.81x = 2,194,944,532,840,479,488
  5. Step 5: Solve for x
    x = 2,194,944,532,840,479,488/725,540,636.81
  6. Step 6: Final answer
    x = 3,025,253,750.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.