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Finding the Third Proportional to 23,142,105 and 49,766,994

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Solution

The third proportional to 23,142,105 and 49,766,994 is: 107,023,699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142,105 : 49,766,994 = 49,766,994 : x
  2. Step 2: Convert to fraction form
    23,142,105/49,766,994 = 49,766,994/x
  3. Step 3: Cross multiply
    23,142,105x = 49,766,994 × 49,766,994
  4. Step 4: Simplify right side
    23,142,105x = 2,476,753,691,796,036
  5. Step 5: Solve for x
    x = 2,476,753,691,796,036/23,142,105
  6. Step 6: Final answer
    x = 107,023,699.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.