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Finding the Third Proportional to 1,517,509,818 and 2,276,264,725

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Solution

The third proportional to 1,517,509,818 and 2,276,264,725 is: 3,414,397,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517,509,818 : 2,276,264,725 = 2,276,264,725 : x
  2. Step 2: Convert to fraction form
    1,517,509,818/2,276,264,725 = 2,276,264,725/x
  3. Step 3: Cross multiply
    1,517,509,818x = 2,276,264,725 × 2,276,264,725
  4. Step 4: Simplify right side
    1,517,509,818x = 5,181,381,098,279,325,696
  5. Step 5: Solve for x
    x = 5,181,381,098,279,325,696/1,517,509,818
  6. Step 6: Final answer
    x = 3,414,397,084.50

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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.