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Finding the Third Proportional to 7,888,908,006,344 and 16,965,069,540,165

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Solution

The third proportional to 7,888,908,006,344 and 16,965,069,540,165 is: 36,483,323,708,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888,908,006,344 : 16,965,069,540,165 = 16,965,069,540,165 : x
  2. Step 2: Convert to fraction form
    7,888,908,006,344/16,965,069,540,165 = 16,965,069,540,165/x
  3. Step 3: Cross multiply
    7,888,908,006,344x = 16,965,069,540,165 × 16,965,069,540,165
  4. Step 4: Simplify right side
    7,888,908,006,344x = 287,813,584,502,634,278,715,129,856
  5. Step 5: Solve for x
    x = 287,813,584,502,634,278,715,129,856/7,888,908,006,344
  6. Step 6: Final answer
    x = 36,483,323,708,577.16

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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.