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Finding the Third Proportional to 1,727,743,754 and 2,782,236,471

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Solution

The third proportional to 1,727,743,754 and 2,782,236,471 is: 4,480,317,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,743,754 : 2,782,236,471 = 2,782,236,471 : x
  2. Step 2: Convert to fraction form
    1,727,743,754/2,782,236,471 = 2,782,236,471/x
  3. Step 3: Cross multiply
    1,727,743,754x = 2,782,236,471 × 2,782,236,471
  4. Step 4: Simplify right side
    1,727,743,754x = 7,740,839,780,562,533,376
  5. Step 5: Solve for x
    x = 7,740,839,780,562,533,376/1,727,743,754
  6. Step 6: Final answer
    x = 4,480,317,039.28

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.