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Finding the Third Proportional to 2,663,678 and 5,752,980

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Solution

The third proportional to 2,663,678 and 5,752,980 is: 12,425,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663,678 : 5,752,980 = 5,752,980 : x
  2. Step 2: Convert to fraction form
    2,663,678/5,752,980 = 5,752,980/x
  3. Step 3: Cross multiply
    2,663,678x = 5,752,980 × 5,752,980
  4. Step 4: Simplify right side
    2,663,678x = 33,096,778,880,400
  5. Step 5: Solve for x
    x = 33,096,778,880,400/2,663,678
  6. Step 6: Final answer
    x = 12,425,217.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.