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Finding the Third Proportional to 9,759,609 and 21,199,299.75

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Solution

The third proportional to 9,759,609 and 21,199,299.75 is: 46,047,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759,609 : 21,199,299.75 = 21,199,299.75 : x
  2. Step 2: Convert to fraction form
    9,759,609/21,199,299.75 = 21,199,299.75/x
  3. Step 3: Cross multiply
    9,759,609x = 21,199,299.75 × 21,199,299.75
  4. Step 4: Simplify right side
    9,759,609x = 449,410,309,890,350.06
  5. Step 5: Solve for x
    x = 449,410,309,890,350.06/9,759,609
  6. Step 6: Final answer
    x = 46,047,983.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.