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Finding the Third Proportional to 5,768,198 and 13,353,017

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Solution

The third proportional to 5,768,198 and 13,353,017 is: 30,911,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768,198 : 13,353,017 = 13,353,017 : x
  2. Step 2: Convert to fraction form
    5,768,198/13,353,017 = 13,353,017/x
  3. Step 3: Cross multiply
    5,768,198x = 13,353,017 × 13,353,017
  4. Step 4: Simplify right side
    5,768,198x = 178,303,063,002,289
  5. Step 5: Solve for x
    x = 178,303,063,002,289/5,768,198
  6. Step 6: Final answer
    x = 30,911,397.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.