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Finding the Third Proportional to 370,396,206 and 789,985,332

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Solution

The third proportional to 370,396,206 and 789,985,332 is: 1,684,889,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,396,206 : 789,985,332 = 789,985,332 : x
  2. Step 2: Convert to fraction form
    370,396,206/789,985,332 = 789,985,332/x
  3. Step 3: Cross multiply
    370,396,206x = 789,985,332 × 789,985,332
  4. Step 4: Simplify right side
    370,396,206x = 624,076,824,775,150,208
  5. Step 5: Solve for x
    x = 624,076,824,775,150,208/370,396,206
  6. Step 6: Final answer
    x = 1,684,889,895.38

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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.