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Finding the Third Proportional to 23,149,766.25 and 49,374,090

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Solution

The third proportional to 23,149,766.25 and 49,374,090 is: 105,305,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,149,766.25 : 49,374,090 = 49,374,090 : x
  2. Step 2: Convert to fraction form
    23,149,766.25/49,374,090 = 49,374,090/x
  3. Step 3: Cross multiply
    23,149,766.25x = 49,374,090 × 49,374,090
  4. Step 4: Simplify right side
    23,149,766.25x = 2,437,800,763,328,100
  5. Step 5: Solve for x
    x = 2,437,800,763,328,100/23,149,766.25
  6. Step 6: Final answer
    x = 105,305,631.90

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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.