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Finding the Third Proportional to 78,923,992,066 and 184,162,345,465

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Solution

The third proportional to 78,923,992,066 and 184,162,345,465 is: 429,726,989,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,923,992,066 : 184,162,345,465 = 184,162,345,465 : x
  2. Step 2: Convert to fraction form
    78,923,992,066/184,162,345,465 = 184,162,345,465/x
  3. Step 3: Cross multiply
    78,923,992,066x = 184,162,345,465 × 184,162,345,465
  4. Step 4: Simplify right side
    78,923,992,066x = 33,915,769,487,170,006,417,408
  5. Step 5: Solve for x
    x = 33,915,769,487,170,006,417,408/78,923,992,066
  6. Step 6: Final answer
    x = 429,726,989,212.71

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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.