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Finding the Third Proportional to 177,592,716 and 374,619,968

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Solution

The third proportional to 177,592,716 and 374,619,968 is: 790,235,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,592,716 : 374,619,968 = 374,619,968 : x
  2. Step 2: Convert to fraction form
    177,592,716/374,619,968 = 374,619,968/x
  3. Step 3: Cross multiply
    177,592,716x = 374,619,968 × 374,619,968
  4. Step 4: Simplify right side
    177,592,716x = 140,340,120,424,321,024
  5. Step 5: Solve for x
    x = 140,340,120,424,321,024/177,592,716
  6. Step 6: Final answer
    x = 790,235,791.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.