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Finding the Third Proportional to 2,444,647 and 5,314,361.50

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Solution

The third proportional to 2,444,647 and 5,314,361.50 is: 11,552,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444,647 : 5,314,361.50 = 5,314,361.50 : x
  2. Step 2: Convert to fraction form
    2,444,647/5,314,361.50 = 5,314,361.50/x
  3. Step 3: Cross multiply
    2,444,647x = 5,314,361.50 × 5,314,361.50
  4. Step 4: Simplify right side
    2,444,647x = 28,242,438,152,682.25
  5. Step 5: Solve for x
    x = 28,242,438,152,682.25/2,444,647
  6. Step 6: Final answer
    x = 11,552,767.39

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Why These Related Problems?

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