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Finding the Third Proportional to 70,478,274 and 151,753,245

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Solution

The third proportional to 70,478,274 and 151,753,245 is: 326,753,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,478,274 : 151,753,245 = 151,753,245 : x
  2. Step 2: Convert to fraction form
    70,478,274/151,753,245 = 151,753,245/x
  3. Step 3: Cross multiply
    70,478,274x = 151,753,245 × 151,753,245
  4. Step 4: Simplify right side
    70,478,274x = 23,029,047,368,030,024
  5. Step 5: Solve for x
    x = 23,029,047,368,030,024/70,478,274
  6. Step 6: Final answer
    x = 326,753,849.96

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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.