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Finding the Third Proportional to 8,243,417.25 and 17,621,273.25

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Solution

The third proportional to 8,243,417.25 and 17,621,273.25 is: 37,667,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243,417.25 : 17,621,273.25 = 17,621,273.25 : x
  2. Step 2: Convert to fraction form
    8,243,417.25/17,621,273.25 = 17,621,273.25/x
  3. Step 3: Cross multiply
    8,243,417.25x = 17,621,273.25 × 17,621,273.25
  4. Step 4: Simplify right side
    8,243,417.25x = 310,509,270,951,165.56
  5. Step 5: Solve for x
    x = 310,509,270,951,165.56/8,243,417.25
  6. Step 6: Final answer
    x = 37,667,542.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.