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Finding the Third Proportional to 33,793,768,217.25 and 70,368,622,407

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Solution

The third proportional to 33,793,768,217.25 and 70,368,622,407 is: 146,528,288,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,793,768,217.25 : 70,368,622,407 = 70,368,622,407 : x
  2. Step 2: Convert to fraction form
    33,793,768,217.25/70,368,622,407 = 70,368,622,407/x
  3. Step 3: Cross multiply
    33,793,768,217.25x = 70,368,622,407 × 70,368,622,407
  4. Step 4: Simplify right side
    33,793,768,217.25x = 4,951,743,019,458,942,205,952
  5. Step 5: Solve for x
    x = 4,951,743,019,458,942,205,952/33,793,768,217.25
  6. Step 6: Final answer
    x = 146,528,288,518.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.