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Finding the Third Proportional to 382,809,025.50 and 839,724,627

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Solution

The third proportional to 382,809,025.50 and 839,724,627 is: 1,842,008,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,809,025.50 : 839,724,627 = 839,724,627 : x
  2. Step 2: Convert to fraction form
    382,809,025.50/839,724,627 = 839,724,627/x
  3. Step 3: Cross multiply
    382,809,025.50x = 839,724,627 × 839,724,627
  4. Step 4: Simplify right side
    382,809,025.50x = 705,137,449,190,289,152
  5. Step 5: Solve for x
    x = 705,137,449,190,289,152/382,809,025.50
  6. Step 6: Final answer
    x = 1,842,008,422.53

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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.