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Finding the Third Proportional to 6,725,099 and 10,706,183

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Solution

The third proportional to 6,725,099 and 10,706,183 is: 17,043,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725,099 : 10,706,183 = 10,706,183 : x
  2. Step 2: Convert to fraction form
    6,725,099/10,706,183 = 10,706,183/x
  3. Step 3: Cross multiply
    6,725,099x = 10,706,183 × 10,706,183
  4. Step 4: Simplify right side
    6,725,099x = 114,622,354,429,489
  5. Step 5: Solve for x
    x = 114,622,354,429,489/6,725,099
  6. Step 6: Final answer
    x = 17,043,965.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.