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Finding the Third Proportional to 9,701,167.50 and 16,167,640.50

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Solution

The third proportional to 9,701,167.50 and 16,167,640.50 is: 26,944,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701,167.50 : 16,167,640.50 = 16,167,640.50 : x
  2. Step 2: Convert to fraction form
    9,701,167.50/16,167,640.50 = 16,167,640.50/x
  3. Step 3: Cross multiply
    9,701,167.50x = 16,167,640.50 × 16,167,640.50
  4. Step 4: Simplify right side
    9,701,167.50x = 261,392,599,337,240.25
  5. Step 5: Solve for x
    x = 261,392,599,337,240.25/9,701,167.50
  6. Step 6: Final answer
    x = 26,944,447.60

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.