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Finding the Third Proportional to 2,384,180 and 5,172,032

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Solution

The third proportional to 2,384,180 and 5,172,032 is: 11,219,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384,180 : 5,172,032 = 5,172,032 : x
  2. Step 2: Convert to fraction form
    2,384,180/5,172,032 = 5,172,032/x
  3. Step 3: Cross multiply
    2,384,180x = 5,172,032 × 5,172,032
  4. Step 4: Simplify right side
    2,384,180x = 26,749,915,009,024
  5. Step 5: Solve for x
    x = 26,749,915,009,024/2,384,180
  6. Step 6: Final answer
    x = 11,219,754.80

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