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Finding the Third Proportional to 23,036,970 and 49,768,512

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Solution

The third proportional to 23,036,970 and 49,768,512 is: 107,518,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,036,970 : 49,768,512 = 49,768,512 : x
  2. Step 2: Convert to fraction form
    23,036,970/49,768,512 = 49,768,512/x
  3. Step 3: Cross multiply
    23,036,970x = 49,768,512 × 49,768,512
  4. Step 4: Simplify right side
    23,036,970x = 2,476,904,786,694,144
  5. Step 5: Solve for x
    x = 2,476,904,786,694,144/23,036,970
  6. Step 6: Final answer
    x = 107,518,687.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.