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Finding the Third Proportional to 78,923,992,064 and 184,162,345,460

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Solution

The third proportional to 78,923,992,064 and 184,162,345,460 is: 429,726,989,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,923,992,064 : 184,162,345,460 = 184,162,345,460 : x
  2. Step 2: Convert to fraction form
    78,923,992,064/184,162,345,460 = 184,162,345,460/x
  3. Step 3: Cross multiply
    78,923,992,064x = 184,162,345,460 × 184,162,345,460
  4. Step 4: Simplify right side
    78,923,992,064x = 33,915,769,485,328,384,000,000
  5. Step 5: Solve for x
    x = 33,915,769,485,328,384,000,000/78,923,992,064
  6. Step 6: Final answer
    x = 429,726,989,200.27

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.