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Finding the Third Proportional to 6,383,991 and 14,185,140

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Solution

The third proportional to 6,383,991 and 14,185,140 is: 31,519,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383,991 : 14,185,140 = 14,185,140 : x
  2. Step 2: Convert to fraction form
    6,383,991/14,185,140 = 14,185,140/x
  3. Step 3: Cross multiply
    6,383,991x = 14,185,140 × 14,185,140
  4. Step 4: Simplify right side
    6,383,991x = 201,218,196,819,600
  5. Step 5: Solve for x
    x = 201,218,196,819,600/6,383,991
  6. Step 6: Final answer
    x = 31,519,185.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.