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Finding the Third Proportional to 3,542,838,279 and 7,611,445,162

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Solution

The third proportional to 3,542,838,279 and 7,611,445,162 is: 16,352,453,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542,838,279 : 7,611,445,162 = 7,611,445,162 : x
  2. Step 2: Convert to fraction form
    3,542,838,279/7,611,445,162 = 7,611,445,162/x
  3. Step 3: Cross multiply
    3,542,838,279x = 7,611,445,162 × 7,611,445,162
  4. Step 4: Simplify right side
    3,542,838,279x = 57,934,097,454,133,207,040
  5. Step 5: Solve for x
    x = 57,934,097,454,133,207,040/3,542,838,279
  6. Step 6: Final answer
    x = 16,352,453,285.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.