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Finding the Third Proportional to 70,347,975 and 152,728,014

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Solution

The third proportional to 70,347,975 and 152,728,014 is: 331,578,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,347,975 : 152,728,014 = 152,728,014 : x
  2. Step 2: Convert to fraction form
    70,347,975/152,728,014 = 152,728,014/x
  3. Step 3: Cross multiply
    70,347,975x = 152,728,014 × 152,728,014
  4. Step 4: Simplify right side
    70,347,975x = 23,325,846,260,384,196
  5. Step 5: Solve for x
    x = 23,325,846,260,384,196/70,347,975
  6. Step 6: Final answer
    x = 331,578,076.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.