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Finding the Third Proportional to 36,211,266 and 77,599,944

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Solution

The third proportional to 36,211,266 and 77,599,944 is: 166,294,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,211,266 : 77,599,944 = 77,599,944 : x
  2. Step 2: Convert to fraction form
    36,211,266/77,599,944 = 77,599,944/x
  3. Step 3: Cross multiply
    36,211,266x = 77,599,944 × 77,599,944
  4. Step 4: Simplify right side
    36,211,266x = 6,021,751,308,803,136
  5. Step 5: Solve for x
    x = 6,021,751,308,803,136/36,211,266
  6. Step 6: Final answer
    x = 166,294,967.67

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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.