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Finding the Third Proportional to 74,184,663 and 159,338,670

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Solution

The third proportional to 74,184,663 and 159,338,670 is: 342,238,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,184,663 : 159,338,670 = 159,338,670 : x
  2. Step 2: Convert to fraction form
    74,184,663/159,338,670 = 159,338,670/x
  3. Step 3: Cross multiply
    74,184,663x = 159,338,670 × 159,338,670
  4. Step 4: Simplify right side
    74,184,663x = 25,388,811,757,368,900
  5. Step 5: Solve for x
    x = 25,388,811,757,368,900/74,184,663
  6. Step 6: Final answer
    x = 342,238,014.31

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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.