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Finding the Third Proportional to 5,297,986 and 11,075,652

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Solution

The third proportional to 5,297,986 and 11,075,652 is: 23,154,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297,986 : 11,075,652 = 11,075,652 : x
  2. Step 2: Convert to fraction form
    5,297,986/11,075,652 = 11,075,652/x
  3. Step 3: Cross multiply
    5,297,986x = 11,075,652 × 11,075,652
  4. Step 4: Simplify right side
    5,297,986x = 122,670,067,225,104
  5. Step 5: Solve for x
    x = 122,670,067,225,104/5,297,986
  6. Step 6: Final answer
    x = 23,154,094.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.