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Finding the Third Proportional to 6,385,029,909,912 and 13,222,653,079,248

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Solution

The third proportional to 6,385,029,909,912 and 13,222,653,079,248 is: 27,382,574,071,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385,029,909,912 : 13,222,653,079,248 = 13,222,653,079,248 : x
  2. Step 2: Convert to fraction form
    6,385,029,909,912/13,222,653,079,248 = 13,222,653,079,248/x
  3. Step 3: Cross multiply
    6,385,029,909,912x = 13,222,653,079,248 × 13,222,653,079,248
  4. Step 4: Simplify right side
    6,385,029,909,912x = 174,838,554,454,146,601,659,138,048
  5. Step 5: Solve for x
    x = 174,838,554,454,146,601,659,138,048/6,385,029,909,912
  6. Step 6: Final answer
    x = 27,382,574,071,067.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.