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Finding the Third Proportional to 6,874,647 and 14,313,957

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Solution

The third proportional to 6,874,647 and 14,313,957 is: 29,803,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874,647 : 14,313,957 = 14,313,957 : x
  2. Step 2: Convert to fraction form
    6,874,647/14,313,957 = 14,313,957/x
  3. Step 3: Cross multiply
    6,874,647x = 14,313,957 × 14,313,957
  4. Step 4: Simplify right side
    6,874,647x = 204,889,364,997,849
  5. Step 5: Solve for x
    x = 204,889,364,997,849/6,874,647
  6. Step 6: Final answer
    x = 29,803,619.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.