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Finding the Third Proportional to 10,906,771.50 and 16,911,342

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Solution

The third proportional to 10,906,771.50 and 16,911,342 is: 26,221,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906,771.50 : 16,911,342 = 16,911,342 : x
  2. Step 2: Convert to fraction form
    10,906,771.50/16,911,342 = 16,911,342/x
  3. Step 3: Cross multiply
    10,906,771.50x = 16,911,342 × 16,911,342
  4. Step 4: Simplify right side
    10,906,771.50x = 285,993,488,240,964
  5. Step 5: Solve for x
    x = 285,993,488,240,964/10,906,771.50
  6. Step 6: Final answer
    x = 26,221,644.80

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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.