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Finding the Third Proportional to 1,517,509,834 and 2,276,264,747

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Solution

The third proportional to 1,517,509,834 and 2,276,264,747 is: 3,414,397,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517,509,834 : 2,276,264,747 = 2,276,264,747 : x
  2. Step 2: Convert to fraction form
    1,517,509,834/2,276,264,747 = 2,276,264,747/x
  3. Step 3: Cross multiply
    1,517,509,834x = 2,276,264,747 × 2,276,264,747
  4. Step 4: Simplify right side
    1,517,509,834x = 5,181,381,198,434,973,696
  5. Step 5: Solve for x
    x = 5,181,381,198,434,973,696/1,517,509,834
  6. Step 6: Final answer
    x = 3,414,397,114.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.