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Finding the Third Proportional to 6,802,092,476 and 14,647,413,112

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Solution

The third proportional to 6,802,092,476 and 14,647,413,112 is: 31,541,281,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802,092,476 : 14,647,413,112 = 14,647,413,112 : x
  2. Step 2: Convert to fraction form
    6,802,092,476/14,647,413,112 = 14,647,413,112/x
  3. Step 3: Cross multiply
    6,802,092,476x = 14,647,413,112 × 14,647,413,112
  4. Step 4: Simplify right side
    6,802,092,476x = 214,546,710,873,589,514,240
  5. Step 5: Solve for x
    x = 214,546,710,873,589,514,240/6,802,092,476
  6. Step 6: Final answer
    x = 31,541,281,102.92

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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.