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Finding the Third Proportional to 3,101,990,297,567 and 6,788,330,248,162

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Solution

The third proportional to 3,101,990,297,567 and 6,788,330,248,162 is: 14,855,438,972,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,990,297,567 : 6,788,330,248,162 = 6,788,330,248,162 : x
  2. Step 2: Convert to fraction form
    3,101,990,297,567/6,788,330,248,162 = 6,788,330,248,162/x
  3. Step 3: Cross multiply
    3,101,990,297,567x = 6,788,330,248,162 × 6,788,330,248,162
  4. Step 4: Simplify right side
    3,101,990,297,567x = 46,081,427,558,111,163,499,675,648
  5. Step 5: Solve for x
    x = 46,081,427,558,111,163,499,675,648/3,101,990,297,567
  6. Step 6: Final answer
    x = 14,855,438,972,279.97

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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.