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Finding the Third Proportional to 17,380,191 and 23,668,853.63

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Solution

The third proportional to 17,380,191 and 23,668,853.63 is: 32,232,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,380,191 : 23,668,853.63 = 23,668,853.63 : x
  2. Step 2: Convert to fraction form
    17,380,191/23,668,853.63 = 23,668,853.63/x
  3. Step 3: Cross multiply
    17,380,191x = 23,668,853.63 × 23,668,853.63
  4. Step 4: Simplify right side
    17,380,191x = 560,214,631,921,675.62
  5. Step 5: Solve for x
    x = 560,214,631,921,675.62/17,380,191
  6. Step 6: Final answer
    x = 32,232,938.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.