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Finding the Third Proportional to 74,049,016 and 159,477,728

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Solution

The third proportional to 74,049,016 and 159,477,728 is: 343,463,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,049,016 : 159,477,728 = 159,477,728 : x
  2. Step 2: Convert to fraction form
    74,049,016/159,477,728 = 159,477,728/x
  3. Step 3: Cross multiply
    74,049,016x = 159,477,728 × 159,477,728
  4. Step 4: Simplify right side
    74,049,016x = 25,433,145,728,041,984
  5. Step 5: Solve for x
    x = 25,433,145,728,041,984/74,049,016
  6. Step 6: Final answer
    x = 343,463,655.59

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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.