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Finding the Third Proportional to 2,080,940,910 and 3,006,600,243

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Solution

The third proportional to 2,080,940,910 and 3,006,600,243 is: 4,344,018,120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080,940,910 : 3,006,600,243 = 3,006,600,243 : x
  2. Step 2: Convert to fraction form
    2,080,940,910/3,006,600,243 = 3,006,600,243/x
  3. Step 3: Cross multiply
    2,080,940,910x = 3,006,600,243 × 3,006,600,243
  4. Step 4: Simplify right side
    2,080,940,910x = 9,039,645,021,207,659,520
  5. Step 5: Solve for x
    x = 9,039,645,021,207,659,520/2,080,940,910
  6. Step 6: Final answer
    x = 4,344,018,120.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.