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Finding the Third Proportional to 5,297,996 and 11,075,672

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Solution

The third proportional to 5,297,996 and 11,075,672 is: 23,154,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297,996 : 11,075,672 = 11,075,672 : x
  2. Step 2: Convert to fraction form
    5,297,996/11,075,672 = 11,075,672/x
  3. Step 3: Cross multiply
    5,297,996x = 11,075,672 × 11,075,672
  4. Step 4: Simplify right side
    5,297,996x = 122,670,510,251,584
  5. Step 5: Solve for x
    x = 122,670,510,251,584/5,297,996
  6. Step 6: Final answer
    x = 23,154,134.18

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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.