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Finding the Third Proportional to 12,294,902.25 and 26,482,013.44

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Solution

The third proportional to 12,294,902.25 and 26,482,013.44 is: 57,039,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294,902.25 : 26,482,013.44 = 26,482,013.44 : x
  2. Step 2: Convert to fraction form
    12,294,902.25/26,482,013.44 = 26,482,013.44/x
  3. Step 3: Cross multiply
    12,294,902.25x = 26,482,013.44 × 26,482,013.44
  4. Step 4: Simplify right side
    12,294,902.25x = 701,297,035,703,930.62
  5. Step 5: Solve for x
    x = 701,297,035,703,930.62/12,294,902.25
  6. Step 6: Final answer
    x = 57,039,659.32

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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.