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Finding the Third Proportional to 3,148,405,794 and 6,889,902,228

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Solution

The third proportional to 3,148,405,794 and 6,889,902,228 is: 15,077,711,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,405,794 : 6,889,902,228 = 6,889,902,228 : x
  2. Step 2: Convert to fraction form
    3,148,405,794/6,889,902,228 = 6,889,902,228/x
  3. Step 3: Cross multiply
    3,148,405,794x = 6,889,902,228 × 6,889,902,228
  4. Step 4: Simplify right side
    3,148,405,794x = 47,470,752,711,399,366,656
  5. Step 5: Solve for x
    x = 47,470,752,711,399,366,656/3,148,405,794
  6. Step 6: Final answer
    x = 15,077,711,012.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.