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Finding the Third Proportional to 2,511,747 and 5,290,308

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Solution

The third proportional to 2,511,747 and 5,290,308 is: 11,142,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511,747 : 5,290,308 = 5,290,308 : x
  2. Step 2: Convert to fraction form
    2,511,747/5,290,308 = 5,290,308/x
  3. Step 3: Cross multiply
    2,511,747x = 5,290,308 × 5,290,308
  4. Step 4: Simplify right side
    2,511,747x = 27,987,358,734,864
  5. Step 5: Solve for x
    x = 27,987,358,734,864/2,511,747
  6. Step 6: Final answer
    x = 11,142,586.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.