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Finding the Third Proportional to 1,530,270,162 and 3,273,291,684

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Solution

The third proportional to 1,530,270,162 and 3,273,291,684 is: 7,001,664,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,270,162 : 3,273,291,684 = 3,273,291,684 : x
  2. Step 2: Convert to fraction form
    1,530,270,162/3,273,291,684 = 3,273,291,684/x
  3. Step 3: Cross multiply
    1,530,270,162x = 3,273,291,684 × 3,273,291,684
  4. Step 4: Simplify right side
    1,530,270,162x = 10,714,438,448,543,555,584
  5. Step 5: Solve for x
    x = 10,714,438,448,543,555,584/1,530,270,162
  6. Step 6: Final answer
    x = 7,001,664,617.53

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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.