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Finding the Third Proportional to 2,039,150,363 and 3,148,805,007

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Solution

The third proportional to 2,039,150,363 and 3,148,805,007 is: 4,862,305,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039,150,363 : 3,148,805,007 = 3,148,805,007 : x
  2. Step 2: Convert to fraction form
    2,039,150,363/3,148,805,007 = 3,148,805,007/x
  3. Step 3: Cross multiply
    2,039,150,363x = 3,148,805,007 × 3,148,805,007
  4. Step 4: Simplify right side
    2,039,150,363x = 9,914,972,972,108,269,568
  5. Step 5: Solve for x
    x = 9,914,972,972,108,269,568/2,039,150,363
  6. Step 6: Final answer
    x = 4,862,305,964.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.