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Finding the Third Proportional to 7,888,908,006,338 and 16,965,069,540,150

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Solution

The third proportional to 7,888,908,006,338 and 16,965,069,540,150 is: 36,483,323,708,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888,908,006,338 : 16,965,069,540,150 = 16,965,069,540,150 : x
  2. Step 2: Convert to fraction form
    7,888,908,006,338/16,965,069,540,150 = 16,965,069,540,150/x
  3. Step 3: Cross multiply
    7,888,908,006,338x = 16,965,069,540,150 × 16,965,069,540,150
  4. Step 4: Simplify right side
    7,888,908,006,338x = 287,813,584,502,125,342,270,423,040
  5. Step 5: Solve for x
    x = 287,813,584,502,125,342,270,423,040/7,888,908,006,338
  6. Step 6: Final answer
    x = 36,483,323,708,540.40

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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.