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Finding the Third Proportional to 6,300,447 and 13,741,233

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Solution

The third proportional to 6,300,447 and 13,741,233 is: 29,969,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300,447 : 13,741,233 = 13,741,233 : x
  2. Step 2: Convert to fraction form
    6,300,447/13,741,233 = 13,741,233/x
  3. Step 3: Cross multiply
    6,300,447x = 13,741,233 × 13,741,233
  4. Step 4: Simplify right side
    6,300,447x = 188,821,484,360,289
  5. Step 5: Solve for x
    x = 188,821,484,360,289/6,300,447
  6. Step 6: Final answer
    x = 29,969,537.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.