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Finding the Third Proportional to 420,710,011,716 and 853,126,770,932

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Solution

The third proportional to 420,710,011,716 and 853,126,770,932 is: 1,729,992,790,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,710,011,716 : 853,126,770,932 = 853,126,770,932 : x
  2. Step 2: Convert to fraction form
    420,710,011,716/853,126,770,932 = 853,126,770,932/x
  3. Step 3: Cross multiply
    420,710,011,716x = 853,126,770,932 × 853,126,770,932
  4. Step 4: Simplify right side
    420,710,011,716x = 727,825,287,280,861,263,167,488
  5. Step 5: Solve for x
    x = 727,825,287,280,861,263,167,488/420,710,011,716
  6. Step 6: Final answer
    x = 1,729,992,790,787.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.