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Finding the Third Proportional to 2,692,668 and 5,763,654

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Solution

The third proportional to 2,692,668 and 5,763,654 is: 12,337,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692,668 : 5,763,654 = 5,763,654 : x
  2. Step 2: Convert to fraction form
    2,692,668/5,763,654 = 5,763,654/x
  3. Step 3: Cross multiply
    2,692,668x = 5,763,654 × 5,763,654
  4. Step 4: Simplify right side
    2,692,668x = 33,219,707,431,716
  5. Step 5: Solve for x
    x = 33,219,707,431,716/2,692,668
  6. Step 6: Final answer
    x = 12,337,097.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.