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Finding the Third Proportional to 3,278,376 and 6,718,608

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Solution

The third proportional to 3,278,376 and 6,718,608 is: 13,768,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278,376 : 6,718,608 = 6,718,608 : x
  2. Step 2: Convert to fraction form
    3,278,376/6,718,608 = 6,718,608/x
  3. Step 3: Cross multiply
    3,278,376x = 6,718,608 × 6,718,608
  4. Step 4: Simplify right side
    3,278,376x = 45,139,693,457,664
  5. Step 5: Solve for x
    x = 45,139,693,457,664/3,278,376
  6. Step 6: Final answer
    x = 13,768,918.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.