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Finding the Third Proportional to 933,258,186 and 1,999,632,903

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Solution

The third proportional to 933,258,186 and 1,999,632,903 is: 4,284,486,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,258,186 : 1,999,632,903 = 1,999,632,903 : x
  2. Step 2: Convert to fraction form
    933,258,186/1,999,632,903 = 1,999,632,903/x
  3. Step 3: Cross multiply
    933,258,186x = 1,999,632,903 × 1,999,632,903
  4. Step 4: Simplify right side
    933,258,186x = 3,998,531,746,760,207,360
  5. Step 5: Solve for x
    x = 3,998,531,746,760,207,360/933,258,186
  6. Step 6: Final answer
    x = 4,284,486,122.64

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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.