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Finding the Third Proportional to 6,725,086 and 10,706,163

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Solution

The third proportional to 6,725,086 and 10,706,163 is: 17,043,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725,086 : 10,706,163 = 10,706,163 : x
  2. Step 2: Convert to fraction form
    6,725,086/10,706,163 = 10,706,163/x
  3. Step 3: Cross multiply
    6,725,086x = 10,706,163 × 10,706,163
  4. Step 4: Simplify right side
    6,725,086x = 114,621,926,182,569
  5. Step 5: Solve for x
    x = 114,621,926,182,569/6,725,086
  6. Step 6: Final answer
    x = 17,043,934.63

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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.