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Finding the Third Proportional to 252,863,944 and 551,672,112

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Solution

The third proportional to 252,863,944 and 551,672,112 is: 1,203,580,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,863,944 : 551,672,112 = 551,672,112 : x
  2. Step 2: Convert to fraction form
    252,863,944/551,672,112 = 551,672,112/x
  3. Step 3: Cross multiply
    252,863,944x = 551,672,112 × 551,672,112
  4. Step 4: Simplify right side
    252,863,944x = 304,342,119,158,540,544
  5. Step 5: Solve for x
    x = 304,342,119,158,540,544/252,863,944
  6. Step 6: Final answer
    x = 1,203,580,527.71

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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.