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Finding the Third Proportional to 36,035,274 and 77,739,243

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Solution

The third proportional to 36,035,274 and 77,739,243 is: 167,707,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,035,274 : 77,739,243 = 77,739,243 : x
  2. Step 2: Convert to fraction form
    36,035,274/77,739,243 = 77,739,243/x
  3. Step 3: Cross multiply
    36,035,274x = 77,739,243 × 77,739,243
  4. Step 4: Simplify right side
    36,035,274x = 6,043,389,902,213,049
  5. Step 5: Solve for x
    x = 6,043,389,902,213,049/36,035,274
  6. Step 6: Final answer
    x = 167,707,616.22

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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.