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Finding the Third Proportional to 1,691,136,928 and 3,714,837,824

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Solution

The third proportional to 1,691,136,928 and 3,714,837,824 is: 8,160,202,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,136,928 : 3,714,837,824 = 3,714,837,824 : x
  2. Step 2: Convert to fraction form
    1,691,136,928/3,714,837,824 = 3,714,837,824/x
  3. Step 3: Cross multiply
    1,691,136,928x = 3,714,837,824 × 3,714,837,824
  4. Step 4: Simplify right side
    1,691,136,928x = 13,800,020,058,621,054,976
  5. Step 5: Solve for x
    x = 13,800,020,058,621,054,976/1,691,136,928
  6. Step 6: Final answer
    x = 8,160,202,660.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.