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Finding the Third Proportional to 380,299,083 and 833,503,998

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Solution

The third proportional to 380,299,083 and 833,503,998 is: 1,826,796,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,299,083 : 833,503,998 = 833,503,998 : x
  2. Step 2: Convert to fraction form
    380,299,083/833,503,998 = 833,503,998/x
  3. Step 3: Cross multiply
    380,299,083x = 833,503,998 × 833,503,998
  4. Step 4: Simplify right side
    380,299,083x = 694,728,914,681,984,000
  5. Step 5: Solve for x
    x = 694,728,914,681,984,000/380,299,083
  6. Step 6: Final answer
    x = 1,826,796,186.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.