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Finding the Third Proportional to 5,697,424 and 13,178,213

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Solution

The third proportional to 5,697,424 and 13,178,213 is: 30,481,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697,424 : 13,178,213 = 13,178,213 : x
  2. Step 2: Convert to fraction form
    5,697,424/13,178,213 = 13,178,213/x
  3. Step 3: Cross multiply
    5,697,424x = 13,178,213 × 13,178,213
  4. Step 4: Simplify right side
    5,697,424x = 173,665,297,873,369
  5. Step 5: Solve for x
    x = 173,665,297,873,369/5,697,424
  6. Step 6: Final answer
    x = 30,481,371.56

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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.