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Finding the Third Proportional to 8,243,384 and 17,621,226

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Solution

The third proportional to 8,243,384 and 17,621,226 is: 37,667,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243,384 : 17,621,226 = 17,621,226 : x
  2. Step 2: Convert to fraction form
    8,243,384/17,621,226 = 17,621,226/x
  3. Step 3: Cross multiply
    8,243,384x = 17,621,226 × 17,621,226
  4. Step 4: Simplify right side
    8,243,384x = 310,507,605,743,076
  5. Step 5: Solve for x
    x = 310,507,605,743,076/8,243,384
  6. Step 6: Final answer
    x = 37,667,492.59

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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.