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Finding the Third Proportional to 6,966,882,399,058 and 9,686,893,093,401

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Solution

The third proportional to 6,966,882,399,058 and 9,686,893,093,401 is: 13,468,850,545,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966,882,399,058 : 9,686,893,093,401 = 9,686,893,093,401 : x
  2. Step 2: Convert to fraction form
    6,966,882,399,058/9,686,893,093,401 = 9,686,893,093,401/x
  3. Step 3: Cross multiply
    6,966,882,399,058x = 9,686,893,093,401 × 9,686,893,093,401
  4. Step 4: Simplify right side
    6,966,882,399,058x = 93,835,897,802,979,998,322,130,944
  5. Step 5: Solve for x
    x = 93,835,897,802,979,998,322,130,944/6,966,882,399,058
  6. Step 6: Final answer
    x = 13,468,850,545,786.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.