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Finding the Third Proportional to 52,286,652 and 114,894,072

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Solution

The third proportional to 52,286,652 and 114,894,072 is: 252,466,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,286,652 : 114,894,072 = 114,894,072 : x
  2. Step 2: Convert to fraction form
    52,286,652/114,894,072 = 114,894,072/x
  3. Step 3: Cross multiply
    52,286,652x = 114,894,072 × 114,894,072
  4. Step 4: Simplify right side
    52,286,652x = 13,200,647,780,741,184
  5. Step 5: Solve for x
    x = 13,200,647,780,741,184/52,286,652
  6. Step 6: Final answer
    x = 252,466,877.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.