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Finding the Third Proportional to 7,888,908,006,372 and 16,965,069,540,218

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Solution

The third proportional to 7,888,908,006,372 and 16,965,069,540,218 is: 36,483,323,708,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888,908,006,372 : 16,965,069,540,218 = 16,965,069,540,218 : x
  2. Step 2: Convert to fraction form
    7,888,908,006,372/16,965,069,540,218 = 16,965,069,540,218/x
  3. Step 3: Cross multiply
    7,888,908,006,372x = 16,965,069,540,218 × 16,965,069,540,218
  4. Step 4: Simplify right side
    7,888,908,006,372x = 287,813,584,504,432,598,701,834,240
  5. Step 5: Solve for x
    x = 287,813,584,504,432,598,701,834,240/7,888,908,006,372
  6. Step 6: Final answer
    x = 36,483,323,708,675.63

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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.