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Finding the Third Proportional to 933,258,180.94 and 1,999,632,890.81

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Solution

The third proportional to 933,258,180.94 and 1,999,632,890.81 is: 4,284,486,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,258,180.94 : 1,999,632,890.81 = 1,999,632,890.81 : x
  2. Step 2: Convert to fraction form
    933,258,180.94/1,999,632,890.81 = 1,999,632,890.81/x
  3. Step 3: Cross multiply
    933,258,180.94x = 1,999,632,890.81 × 1,999,632,890.81
  4. Step 4: Simplify right side
    933,258,180.94x = 3,998,531,698,019,155,456
  5. Step 5: Solve for x
    x = 3,998,531,698,019,155,456/933,258,180.94
  6. Step 6: Final answer
    x = 4,284,486,093.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.