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Finding the Third Proportional to 4,207,843.50 and 9,203,007

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Solution

The third proportional to 4,207,843.50 and 9,203,007 is: 20,127,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207,843.50 : 9,203,007 = 9,203,007 : x
  2. Step 2: Convert to fraction form
    4,207,843.50/9,203,007 = 9,203,007/x
  3. Step 3: Cross multiply
    4,207,843.50x = 9,203,007 × 9,203,007
  4. Step 4: Simplify right side
    4,207,843.50x = 84,695,337,842,049
  5. Step 5: Solve for x
    x = 84,695,337,842,049/4,207,843.50
  6. Step 6: Final answer
    x = 20,127,967.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.