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Finding the Third Proportional to 380,299,152 and 833,504,120

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Solution

The third proportional to 380,299,152 and 833,504,120 is: 1,826,796,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,299,152 : 833,504,120 = 833,504,120 : x
  2. Step 2: Convert to fraction form
    380,299,152/833,504,120 = 833,504,120/x
  3. Step 3: Cross multiply
    380,299,152x = 833,504,120 × 833,504,120
  4. Step 4: Simplify right side
    380,299,152x = 694,729,118,056,974,336
  5. Step 5: Solve for x
    x = 694,729,118,056,974,336/380,299,152
  6. Step 6: Final answer
    x = 1,826,796,390.17

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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.