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Finding the Third Proportional to 7,888,908,006,362 and 16,965,069,540,198

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Solution

The third proportional to 7,888,908,006,362 and 16,965,069,540,198 is: 36,483,323,708,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888,908,006,362 : 16,965,069,540,198 = 16,965,069,540,198 : x
  2. Step 2: Convert to fraction form
    7,888,908,006,362/16,965,069,540,198 = 16,965,069,540,198/x
  3. Step 3: Cross multiply
    7,888,908,006,362x = 16,965,069,540,198 × 16,965,069,540,198
  4. Step 4: Simplify right side
    7,888,908,006,362x = 287,813,584,503,753,993,869,066,240
  5. Step 5: Solve for x
    x = 287,813,584,503,753,993,869,066,240/7,888,908,006,362
  6. Step 6: Final answer
    x = 36,483,323,708,635.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.