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Finding the Third Proportional to 36,035,275 and 77,739,245

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Solution

The third proportional to 36,035,275 and 77,739,245 is: 167,707,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,035,275 : 77,739,245 = 77,739,245 : x
  2. Step 2: Convert to fraction form
    36,035,275/77,739,245 = 77,739,245/x
  3. Step 3: Cross multiply
    36,035,275x = 77,739,245 × 77,739,245
  4. Step 4: Simplify right side
    36,035,275x = 6,043,390,213,170,025
  5. Step 5: Solve for x
    x = 6,043,390,213,170,025/36,035,275
  6. Step 6: Final answer
    x = 167,707,620.19

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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.