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Finding the Third Proportional to 5,291,911 and 11,480,006

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Solution

The third proportional to 5,291,911 and 11,480,006 is: 24,904,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291,911 : 11,480,006 = 11,480,006 : x
  2. Step 2: Convert to fraction form
    5,291,911/11,480,006 = 11,480,006/x
  3. Step 3: Cross multiply
    5,291,911x = 11,480,006 × 11,480,006
  4. Step 4: Simplify right side
    5,291,911x = 131,790,537,760,036
  5. Step 5: Solve for x
    x = 131,790,537,760,036/5,291,911
  6. Step 6: Final answer
    x = 24,904,148.57

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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.