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Finding the Third Proportional to 5,147,595 and 11,191,590

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Solution

The third proportional to 5,147,595 and 11,191,590 is: 24,332,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147,595 : 11,191,590 = 11,191,590 : x
  2. Step 2: Convert to fraction form
    5,147,595/11,191,590 = 11,191,590/x
  3. Step 3: Cross multiply
    5,147,595x = 11,191,590 × 11,191,590
  4. Step 4: Simplify right side
    5,147,595x = 125,251,686,728,100
  5. Step 5: Solve for x
    x = 125,251,686,728,100/5,147,595
  6. Step 6: Final answer
    x = 24,332,078.71

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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.