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Finding the Third Proportional to 4,843,144,844,921 and 6,811,559,179,563

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Solution

The third proportional to 4,843,144,844,921 and 6,811,559,179,563 is: 9,580,002,238,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843,144,844,921 : 6,811,559,179,563 = 6,811,559,179,563 : x
  2. Step 2: Convert to fraction form
    4,843,144,844,921/6,811,559,179,563 = 6,811,559,179,563/x
  3. Step 3: Cross multiply
    4,843,144,844,921x = 6,811,559,179,563 × 6,811,559,179,563
  4. Step 4: Simplify right side
    4,843,144,844,921x = 46,397,338,456,688,965,640,519,680
  5. Step 5: Solve for x
    x = 46,397,338,456,688,965,640,519,680/4,843,144,844,921
  6. Step 6: Final answer
    x = 9,580,002,238,699.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.