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Finding the Third Proportional to 76,015,994 and 165,970,792

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Solution

The third proportional to 76,015,994 and 165,970,792 is: 362,375,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015,994 : 165,970,792 = 165,970,792 : x
  2. Step 2: Convert to fraction form
    76,015,994/165,970,792 = 165,970,792/x
  3. Step 3: Cross multiply
    76,015,994x = 165,970,792 × 165,970,792
  4. Step 4: Simplify right side
    76,015,994x = 27,546,303,797,107,264
  5. Step 5: Solve for x
    x = 27,546,303,797,107,264/76,015,994
  6. Step 6: Final answer
    x = 362,375,104.86

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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.