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Finding the Third Proportional to 49,396,078,700 and 66,646,907,532

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Solution

The third proportional to 49,396,078,700 and 66,646,907,532 is: 89,922,325,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,396,078,700 : 66,646,907,532 = 66,646,907,532 : x
  2. Step 2: Convert to fraction form
    49,396,078,700/66,646,907,532 = 66,646,907,532/x
  3. Step 3: Cross multiply
    49,396,078,700x = 66,646,907,532 × 66,646,907,532
  4. Step 4: Simplify right side
    49,396,078,700x = 4,441,810,283,578,958,282,752
  5. Step 5: Solve for x
    x = 4,441,810,283,578,958,282,752/49,396,078,700
  6. Step 6: Final answer
    x = 89,922,325,829.86

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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.