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Finding the Third Proportional to 4,071,951 and 8,950,857.75

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Solution

The third proportional to 4,071,951 and 8,950,857.75 is: 19,675,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071,951 : 8,950,857.75 = 8,950,857.75 : x
  2. Step 2: Convert to fraction form
    4,071,951/8,950,857.75 = 8,950,857.75/x
  3. Step 3: Cross multiply
    4,071,951x = 8,950,857.75 × 8,950,857.75
  4. Step 4: Simplify right side
    4,071,951x = 80,117,854,460,735.06
  5. Step 5: Solve for x
    x = 80,117,854,460,735.06/4,071,951
  6. Step 6: Final answer
    x = 19,675,544.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.