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Finding the Third Proportional to 2,080,940,404 and 3,006,599,526

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Solution

The third proportional to 2,080,940,404 and 3,006,599,526 is: 4,344,017,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080,940,404 : 3,006,599,526 = 3,006,599,526 : x
  2. Step 2: Convert to fraction form
    2,080,940,404/3,006,599,526 = 3,006,599,526/x
  3. Step 3: Cross multiply
    2,080,940,404x = 3,006,599,526 × 3,006,599,526
  4. Step 4: Simplify right side
    2,080,940,404x = 9,039,640,709,743,424,512
  5. Step 5: Solve for x
    x = 9,039,640,709,743,424,512/2,080,940,404
  6. Step 6: Final answer
    x = 4,344,017,105.14

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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.