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Finding the Third Proportional to 370,396,208 and 789,985,336

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Solution

The third proportional to 370,396,208 and 789,985,336 is: 1,684,889,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,396,208 : 789,985,336 = 789,985,336 : x
  2. Step 2: Convert to fraction form
    370,396,208/789,985,336 = 789,985,336/x
  3. Step 3: Cross multiply
    370,396,208x = 789,985,336 × 789,985,336
  4. Step 4: Simplify right side
    370,396,208x = 624,076,831,095,032,832
  5. Step 5: Solve for x
    x = 624,076,831,095,032,832/370,396,208
  6. Step 6: Final answer
    x = 1,684,889,903.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.