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Finding the Third Proportional to 7,726,504 and 16,782,686

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Solution

The third proportional to 7,726,504 and 16,782,686 is: 36,453,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726,504 : 16,782,686 = 16,782,686 : x
  2. Step 2: Convert to fraction form
    7,726,504/16,782,686 = 16,782,686/x
  3. Step 3: Cross multiply
    7,726,504x = 16,782,686 × 16,782,686
  4. Step 4: Simplify right side
    7,726,504x = 281,658,549,374,596
  5. Step 5: Solve for x
    x = 281,658,549,374,596/7,726,504
  6. Step 6: Final answer
    x = 36,453,556.40

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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.