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Finding the Third Proportional to 9,209,103.75 and 20,051,992.69

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Solution

The third proportional to 9,209,103.75 and 20,051,992.69 is: 43,661,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209,103.75 : 20,051,992.69 = 20,051,992.69 : x
  2. Step 2: Convert to fraction form
    9,209,103.75/20,051,992.69 = 20,051,992.69/x
  3. Step 3: Cross multiply
    9,209,103.75x = 20,051,992.69 × 20,051,992.69
  4. Step 4: Simplify right side
    9,209,103.75x = 402,082,410,739,553.50
  5. Step 5: Solve for x
    x = 402,082,410,739,553.50/9,209,103.75
  6. Step 6: Final answer
    x = 43,661,405.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.