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Finding the Third Proportional to 2,353,318 and 5,138,206

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Solution

The third proportional to 2,353,318 and 5,138,206 is: 11,218,696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353,318 : 5,138,206 = 5,138,206 : x
  2. Step 2: Convert to fraction form
    2,353,318/5,138,206 = 5,138,206/x
  3. Step 3: Cross multiply
    2,353,318x = 5,138,206 × 5,138,206
  4. Step 4: Simplify right side
    2,353,318x = 26,401,160,898,436
  5. Step 5: Solve for x
    x = 26,401,160,898,436/2,353,318
  6. Step 6: Final answer
    x = 11,218,696.71

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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.