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Finding the Third Proportional to 4,138,992,124 and 9,079,302,036

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Solution

The third proportional to 4,138,992,124 and 9,079,302,036 is: 19,916,376,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138,992,124 : 9,079,302,036 = 9,079,302,036 : x
  2. Step 2: Convert to fraction form
    4,138,992,124/9,079,302,036 = 9,079,302,036/x
  3. Step 3: Cross multiply
    4,138,992,124x = 9,079,302,036 × 9,079,302,036
  4. Step 4: Simplify right side
    4,138,992,124x = 82,433,725,460,913,750,016
  5. Step 5: Solve for x
    x = 82,433,725,460,913,750,016/4,138,992,124
  6. Step 6: Final answer
    x = 19,916,376,497.29

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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.