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Finding the Third Proportional to 10,906,652.25 and 16,911,164.25

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Solution

The third proportional to 10,906,652.25 and 16,911,164.25 is: 26,221,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906,652.25 : 16,911,164.25 = 16,911,164.25 : x
  2. Step 2: Convert to fraction form
    10,906,652.25/16,911,164.25 = 16,911,164.25/x
  3. Step 3: Cross multiply
    10,906,652.25x = 16,911,164.25 × 16,911,164.25
  4. Step 4: Simplify right side
    10,906,652.25x = 285,987,476,290,478.06
  5. Step 5: Solve for x
    x = 285,987,476,290,478.06/10,906,652.25
  6. Step 6: Final answer
    x = 26,221,380.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.