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Finding the Third Proportional to 1,838,453,652 and 2,751,166,728

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Solution

The third proportional to 1,838,453,652 and 2,751,166,728 is: 4,117,002,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838,453,652 : 2,751,166,728 = 2,751,166,728 : x
  2. Step 2: Convert to fraction form
    1,838,453,652/2,751,166,728 = 2,751,166,728/x
  3. Step 3: Cross multiply
    1,838,453,652x = 2,751,166,728 × 2,751,166,728
  4. Step 4: Simplify right side
    1,838,453,652x = 7,568,918,365,254,225,920
  5. Step 5: Solve for x
    x = 7,568,918,365,254,225,920/1,838,453,652
  6. Step 6: Final answer
    x = 4,117,002,545.60

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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.