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Finding the Third Proportional to 6,392,879,246,817 and 13,124,663,646,138

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Solution

The third proportional to 6,392,879,246,817 and 13,124,663,646,138 is: 26,945,103,946,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392,879,246,817 : 13,124,663,646,138 = 13,124,663,646,138 : x
  2. Step 2: Convert to fraction form
    6,392,879,246,817/13,124,663,646,138 = 13,124,663,646,138/x
  3. Step 3: Cross multiply
    6,392,879,246,817x = 13,124,663,646,138 × 13,124,663,646,138
  4. Step 4: Simplify right side
    6,392,879,246,817x = 172,256,795,824,256,418,163,195,904
  5. Step 5: Solve for x
    x = 172,256,795,824,256,418,163,195,904/6,392,879,246,817
  6. Step 6: Final answer
    x = 26,945,103,946,711.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.