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Finding the Third Proportional to 1,530,270,165 and 3,273,291,690

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Solution

The third proportional to 1,530,270,165 and 3,273,291,690 is: 7,001,664,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,270,165 : 3,273,291,690 = 3,273,291,690 : x
  2. Step 2: Convert to fraction form
    1,530,270,165/3,273,291,690 = 3,273,291,690/x
  3. Step 3: Cross multiply
    1,530,270,165x = 3,273,291,690 × 3,273,291,690
  4. Step 4: Simplify right side
    1,530,270,165x = 10,714,438,487,823,056,896
  5. Step 5: Solve for x
    x = 10,714,438,487,823,056,896/1,530,270,165
  6. Step 6: Final answer
    x = 7,001,664,629.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.