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Finding the Third Proportional to 36,406,665 and 78,216,183

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Solution

The third proportional to 36,406,665 and 78,216,183 is: 168,039,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,406,665 : 78,216,183 = 78,216,183 : x
  2. Step 2: Convert to fraction form
    36,406,665/78,216,183 = 78,216,183/x
  3. Step 3: Cross multiply
    36,406,665x = 78,216,183 × 78,216,183
  4. Step 4: Simplify right side
    36,406,665x = 6,117,771,283,089,489
  5. Step 5: Solve for x
    x = 6,117,771,283,089,489/36,406,665
  6. Step 6: Final answer
    x = 168,039,870.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.