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Finding the Third Proportional to 380,299,082 and 833,503,996

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Solution

The third proportional to 380,299,082 and 833,503,996 is: 1,826,796,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,299,082 : 833,503,996 = 833,503,996 : x
  2. Step 2: Convert to fraction form
    380,299,082/833,503,996 = 833,503,996/x
  3. Step 3: Cross multiply
    380,299,082x = 833,503,996 × 833,503,996
  4. Step 4: Simplify right side
    380,299,082x = 694,728,911,347,968,000
  5. Step 5: Solve for x
    x = 694,728,911,347,968,000/380,299,082
  6. Step 6: Final answer
    x = 1,826,796,182.87

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Why These Related Problems?

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