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Finding the Third Proportional to 76,015,993 and 165,970,790

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Solution

The third proportional to 76,015,993 and 165,970,790 is: 362,375,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015,993 : 165,970,790 = 165,970,790 : x
  2. Step 2: Convert to fraction form
    76,015,993/165,970,790 = 165,970,790/x
  3. Step 3: Cross multiply
    76,015,993x = 165,970,790 × 165,970,790
  4. Step 4: Simplify right side
    76,015,993x = 27,546,303,133,224,100
  5. Step 5: Solve for x
    x = 27,546,303,133,224,100/76,015,993
  6. Step 6: Final answer
    x = 362,375,100.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.