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Finding the Third Proportional to 5,697,441 and 13,178,268

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Solution

The third proportional to 5,697,441 and 13,178,268 is: 30,481,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697,441 : 13,178,268 = 13,178,268 : x
  2. Step 2: Convert to fraction form
    5,697,441/13,178,268 = 13,178,268/x
  3. Step 3: Cross multiply
    5,697,441x = 13,178,268 × 13,178,268
  4. Step 4: Simplify right side
    5,697,441x = 173,666,747,479,824
  5. Step 5: Solve for x
    x = 173,666,747,479,824/5,697,441
  6. Step 6: Final answer
    x = 30,481,535.04

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.