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Finding the Third Proportional to 14,199,138 and 31,084,992

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Solution

The third proportional to 14,199,138 and 31,084,992 is: 68,051,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199,138 : 31,084,992 = 31,084,992 : x
  2. Step 2: Convert to fraction form
    14,199,138/31,084,992 = 31,084,992/x
  3. Step 3: Cross multiply
    14,199,138x = 31,084,992 × 31,084,992
  4. Step 4: Simplify right side
    14,199,138x = 966,276,727,640,064
  5. Step 5: Solve for x
    x = 966,276,727,640,064/14,199,138
  6. Step 6: Final answer
    x = 68,051,787.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.