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Finding the Third Proportional to 23,149,767 and 49,374,093

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Solution

The third proportional to 23,149,767 and 49,374,093 is: 105,305,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,149,767 : 49,374,093 = 49,374,093 : x
  2. Step 2: Convert to fraction form
    23,149,767/49,374,093 = 49,374,093/x
  3. Step 3: Cross multiply
    23,149,767x = 49,374,093 × 49,374,093
  4. Step 4: Simplify right side
    23,149,767x = 2,437,801,059,572,649
  5. Step 5: Solve for x
    x = 2,437,801,059,572,649/23,149,767
  6. Step 6: Final answer
    x = 105,305,641.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.