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Finding the Third Proportional to 9,701,196 and 16,167,684

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Solution

The third proportional to 9,701,196 and 16,167,684 is: 26,944,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701,196 : 16,167,684 = 16,167,684 : x
  2. Step 2: Convert to fraction form
    9,701,196/16,167,684 = 16,167,684/x
  3. Step 3: Cross multiply
    9,701,196x = 16,167,684 × 16,167,684
  4. Step 4: Simplify right side
    9,701,196x = 261,394,005,923,856
  5. Step 5: Solve for x
    x = 261,394,005,923,856/9,701,196
  6. Step 6: Final answer
    x = 26,944,513.43

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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.