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Finding the Third Proportional to 931,670,022 and 1,994,215,591.50

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Solution

The third proportional to 931,670,022 and 1,994,215,591.50 is: 4,268,566,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,670,022 : 1,994,215,591.50 = 1,994,215,591.50 : x
  2. Step 2: Convert to fraction form
    931,670,022/1,994,215,591.50 = 1,994,215,591.50/x
  3. Step 3: Cross multiply
    931,670,022x = 1,994,215,591.50 × 1,994,215,591.50
  4. Step 4: Simplify right side
    931,670,022x = 3,976,895,825,381,694,976
  5. Step 5: Solve for x
    x = 3,976,895,825,381,694,976/931,670,022
  6. Step 6: Final answer
    x = 4,268,566,908.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.