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Finding the Third Proportional to 33,793,768,219 and 70,368,622,411

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Solution

The third proportional to 33,793,768,219 and 70,368,622,411 is: 146,528,288,527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,793,768,219 : 70,368,622,411 = 70,368,622,411 : x
  2. Step 2: Convert to fraction form
    33,793,768,219/70,368,622,411 = 70,368,622,411/x
  3. Step 3: Cross multiply
    33,793,768,219x = 70,368,622,411 × 70,368,622,411
  4. Step 4: Simplify right side
    33,793,768,219x = 4,951,743,020,021,891,203,072
  5. Step 5: Solve for x
    x = 4,951,743,020,021,891,203,072/33,793,768,219
  6. Step 6: Final answer
    x = 146,528,288,527.41

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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.