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Finding the Third Proportional to 23,142,024 and 49,766,845.50

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Solution

The third proportional to 23,142,024 and 49,766,845.50 is: 107,023,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142,024 : 49,766,845.50 = 49,766,845.50 : x
  2. Step 2: Convert to fraction form
    23,142,024/49,766,845.50 = 49,766,845.50/x
  3. Step 3: Cross multiply
    23,142,024x = 49,766,845.50 × 49,766,845.50
  4. Step 4: Simplify right side
    23,142,024x = 2,476,738,911,020,870
  5. Step 5: Solve for x
    x = 2,476,738,911,020,870/23,142,024
  6. Step 6: Final answer
    x = 107,023,435.42

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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.