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Finding the Third Proportional to 36,362,296 and 78,391,670

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Solution

The third proportional to 36,362,296 and 78,391,670 is: 169,000,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,362,296 : 78,391,670 = 78,391,670 : x
  2. Step 2: Convert to fraction form
    36,362,296/78,391,670 = 78,391,670/x
  3. Step 3: Cross multiply
    36,362,296x = 78,391,670 × 78,391,670
  4. Step 4: Simplify right side
    36,362,296x = 6,145,253,925,388,900
  5. Step 5: Solve for x
    x = 6,145,253,925,388,900/36,362,296
  6. Step 6: Final answer
    x = 169,000,712.31

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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.