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Finding the Third Proportional to 4,749,380 and 11,199,934

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Solution

The third proportional to 4,749,380 and 11,199,934 is: 26,411,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749,380 : 11,199,934 = 11,199,934 : x
  2. Step 2: Convert to fraction form
    4,749,380/11,199,934 = 11,199,934/x
  3. Step 3: Cross multiply
    4,749,380x = 11,199,934 × 11,199,934
  4. Step 4: Simplify right side
    4,749,380x = 125,438,521,604,356
  5. Step 5: Solve for x
    x = 125,438,521,604,356/4,749,380
  6. Step 6: Final answer
    x = 26,411,557.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.