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Finding the Third Proportional to 7,504,707 and 17,698,183.50

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Solution

The third proportional to 7,504,707 and 17,698,183.50 is: 41,737,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504,707 : 17,698,183.50 = 17,698,183.50 : x
  2. Step 2: Convert to fraction form
    7,504,707/17,698,183.50 = 17,698,183.50/x
  3. Step 3: Cross multiply
    7,504,707x = 17,698,183.50 × 17,698,183.50
  4. Step 4: Simplify right side
    7,504,707x = 313,225,699,199,672.25
  5. Step 5: Solve for x
    x = 313,225,699,199,672.25/7,504,707
  6. Step 6: Final answer
    x = 41,737,232.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.