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Finding the Third Proportional to 9,571,509.75 and 21,002,759

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Solution

The third proportional to 9,571,509.75 and 21,002,759 is: 46,086,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571,509.75 : 21,002,759 = 21,002,759 : x
  2. Step 2: Convert to fraction form
    9,571,509.75/21,002,759 = 21,002,759/x
  3. Step 3: Cross multiply
    9,571,509.75x = 21,002,759 × 21,002,759
  4. Step 4: Simplify right side
    9,571,509.75x = 441,115,885,612,081
  5. Step 5: Solve for x
    x = 441,115,885,612,081/9,571,509.75
  6. Step 6: Final answer
    x = 46,086,343.44

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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.