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Finding the Third Proportional to 1,517,509,829 and 2,276,264,741

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Solution

The third proportional to 1,517,509,829 and 2,276,264,741 is: 3,414,397,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517,509,829 : 2,276,264,741 = 2,276,264,741 : x
  2. Step 2: Convert to fraction form
    1,517,509,829/2,276,264,741 = 2,276,264,741/x
  3. Step 3: Cross multiply
    1,517,509,829x = 2,276,264,741 × 2,276,264,741
  4. Step 4: Simplify right side
    1,517,509,829x = 5,181,381,171,119,797,248
  5. Step 5: Solve for x
    x = 5,181,381,171,119,797,248/1,517,509,829
  6. Step 6: Final answer
    x = 3,414,397,107.75

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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.