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Finding the Third Proportional to 8,094,760 and 17,238,236

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Solution

The third proportional to 8,094,760 and 17,238,236 is: 36,709,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094,760 : 17,238,236 = 17,238,236 : x
  2. Step 2: Convert to fraction form
    8,094,760/17,238,236 = 17,238,236/x
  3. Step 3: Cross multiply
    8,094,760x = 17,238,236 × 17,238,236
  4. Step 4: Simplify right side
    8,094,760x = 297,156,780,391,696
  5. Step 5: Solve for x
    x = 297,156,780,391,696/8,094,760
  6. Step 6: Final answer
    x = 36,709,770.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.