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Finding the Third Proportional to 394,184,135.81 and 850,692,015.56

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Solution

The third proportional to 394,184,135.81 and 850,692,015.56 is: 1,835,885,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,184,135.81 : 850,692,015.56 = 850,692,015.56 : x
  2. Step 2: Convert to fraction form
    394,184,135.81/850,692,015.56 = 850,692,015.56/x
  3. Step 3: Cross multiply
    394,184,135.81x = 850,692,015.56 × 850,692,015.56
  4. Step 4: Simplify right side
    394,184,135.81x = 723,676,905,341,788,800
  5. Step 5: Solve for x
    x = 723,676,905,341,788,800/394,184,135.81
  6. Step 6: Final answer
    x = 1,835,885,413.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.