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Finding the Third Proportional to 10,906,712.44 and 16,911,233.16

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Solution

The third proportional to 10,906,712.44 and 16,911,233.16 is: 26,221,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906,712.44 : 16,911,233.16 = 16,911,233.16 : x
  2. Step 2: Convert to fraction form
    10,906,712.44/16,911,233.16 = 16,911,233.16/x
  3. Step 3: Cross multiply
    10,906,712.44x = 16,911,233.16 × 16,911,233.16
  4. Step 4: Simplify right side
    10,906,712.44x = 285,989,806,865,049.31
  5. Step 5: Solve for x
    x = 285,989,806,865,049.31/10,906,712.44
  6. Step 6: Final answer
    x = 26,221,449.27

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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.