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Finding the Third Proportional to 9,094,766 and 19,449,728

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Solution

The third proportional to 9,094,766 and 19,449,728 is: 41,594,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094,766 : 19,449,728 = 19,449,728 : x
  2. Step 2: Convert to fraction form
    9,094,766/19,449,728 = 19,449,728/x
  3. Step 3: Cross multiply
    9,094,766x = 19,449,728 × 19,449,728
  4. Step 4: Simplify right side
    9,094,766x = 378,291,919,273,984
  5. Step 5: Solve for x
    x = 378,291,919,273,984/9,094,766
  6. Step 6: Final answer
    x = 41,594,464.25

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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.