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Finding the Third Proportional to 9,292,514 and 19,930,200

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Solution

The third proportional to 9,292,514 and 19,930,200 is: 42,745,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292,514 : 19,930,200 = 19,930,200 : x
  2. Step 2: Convert to fraction form
    9,292,514/19,930,200 = 19,930,200/x
  3. Step 3: Cross multiply
    9,292,514x = 19,930,200 × 19,930,200
  4. Step 4: Simplify right side
    9,292,514x = 397,212,872,040,000
  5. Step 5: Solve for x
    x = 397,212,872,040,000/9,292,514
  6. Step 6: Final answer
    x = 42,745,469.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.