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Finding the Third Proportional to 800,049,951 and 1,202,205,087

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Solution

The third proportional to 800,049,951 and 1,202,205,087 is: 1,806,508,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,049,951 : 1,202,205,087 = 1,202,205,087 : x
  2. Step 2: Convert to fraction form
    800,049,951/1,202,205,087 = 1,202,205,087/x
  3. Step 3: Cross multiply
    800,049,951x = 1,202,205,087 × 1,202,205,087
  4. Step 4: Simplify right side
    800,049,951x = 1,445,297,071,208,677,632
  5. Step 5: Solve for x
    x = 1,445,297,071,208,677,632/800,049,951
  6. Step 6: Final answer
    x = 1,806,508,542.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.