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Finding the Third Proportional to 9,326,675 and 20,170,171

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Solution

The third proportional to 9,326,675 and 20,170,171 is: 43,620,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326,675 : 20,170,171 = 20,170,171 : x
  2. Step 2: Convert to fraction form
    9,326,675/20,170,171 = 20,170,171/x
  3. Step 3: Cross multiply
    9,326,675x = 20,170,171 × 20,170,171
  4. Step 4: Simplify right side
    9,326,675x = 406,835,798,169,241
  5. Step 5: Solve for x
    x = 406,835,798,169,241/9,326,675
  6. Step 6: Final answer
    x = 43,620,668.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.