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Finding the Third Proportional to 3,163,944,134 and 6,686,610,208

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Solution

The third proportional to 3,163,944,134 and 6,686,610,208 is: 14,131,335,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,944,134 : 6,686,610,208 = 6,686,610,208 : x
  2. Step 2: Convert to fraction form
    3,163,944,134/6,686,610,208 = 6,686,610,208/x
  3. Step 3: Cross multiply
    3,163,944,134x = 6,686,610,208 × 6,686,610,208
  4. Step 4: Simplify right side
    3,163,944,134x = 44,710,756,073,729,802,240
  5. Step 5: Solve for x
    x = 44,710,756,073,729,802,240/3,163,944,134
  6. Step 6: Final answer
    x = 14,131,335,504.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.