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Finding the Third Proportional to 52,051,247 and 113,062,894

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Solution

The third proportional to 52,051,247 and 113,062,894 is: 245,589,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051,247 : 113,062,894 = 113,062,894 : x
  2. Step 2: Convert to fraction form
    52,051,247/113,062,894 = 113,062,894/x
  3. Step 3: Cross multiply
    52,051,247x = 113,062,894 × 113,062,894
  4. Step 4: Simplify right side
    52,051,247x = 12,783,217,999,655,236
  5. Step 5: Solve for x
    x = 12,783,217,999,655,236/52,051,247
  6. Step 6: Final answer
    x = 245,589,082.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.