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Finding the Third Proportional to 78,923,992,056 and 184,162,345,440

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Solution

The third proportional to 78,923,992,056 and 184,162,345,440 is: 429,726,989,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,923,992,056 : 184,162,345,440 = 184,162,345,440 : x
  2. Step 2: Convert to fraction form
    78,923,992,056/184,162,345,440 = 184,162,345,440/x
  3. Step 3: Cross multiply
    78,923,992,056x = 184,162,345,440 × 184,162,345,440
  4. Step 4: Simplify right side
    78,923,992,056x = 33,915,769,477,961,890,136,064
  5. Step 5: Solve for x
    x = 33,915,769,477,961,890,136,064/78,923,992,056
  6. Step 6: Final answer
    x = 429,726,989,150.49

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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.