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Finding the Third Proportional to 6,286,174 and 9,311,424

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Solution

The third proportional to 6,286,174 and 9,311,424 is: 13,792,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,174 : 9,311,424 = 9,311,424 : x
  2. Step 2: Convert to fraction form
    6,286,174/9,311,424 = 9,311,424/x
  3. Step 3: Cross multiply
    6,286,174x = 9,311,424 × 9,311,424
  4. Step 4: Simplify right side
    6,286,174x = 86,702,616,907,776
  5. Step 5: Solve for x
    x = 86,702,616,907,776/6,286,174
  6. Step 6: Final answer
    x = 13,792,589.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.