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Finding the Third Proportional to 3,259,533 and 7,085,823

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Solution

The third proportional to 3,259,533 and 7,085,823 is: 15,403,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259,533 : 7,085,823 = 7,085,823 : x
  2. Step 2: Convert to fraction form
    3,259,533/7,085,823 = 7,085,823/x
  3. Step 3: Cross multiply
    3,259,533x = 7,085,823 × 7,085,823
  4. Step 4: Simplify right side
    3,259,533x = 50,208,887,587,329
  5. Step 5: Solve for x
    x = 50,208,887,587,329/3,259,533
  6. Step 6: Final answer
    x = 15,403,705.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.