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Finding the Third Proportional to 49,396,078,716 and 66,646,907,556

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Solution

The third proportional to 49,396,078,716 and 66,646,907,556 is: 89,922,325,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,396,078,716 : 66,646,907,556 = 66,646,907,556 : x
  2. Step 2: Convert to fraction form
    49,396,078,716/66,646,907,556 = 66,646,907,556/x
  3. Step 3: Cross multiply
    49,396,078,716x = 66,646,907,556 × 66,646,907,556
  4. Step 4: Simplify right side
    49,396,078,716x = 4,441,810,286,778,010,042,368
  5. Step 5: Solve for x
    x = 4,441,810,286,778,010,042,368/49,396,078,716
  6. Step 6: Final answer
    x = 89,922,325,865.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.