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Finding the Third Proportional to 54,705,874,736 and 81,736,777,488

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Solution

The third proportional to 54,705,874,736 and 81,736,777,488 is: 122,124,010,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,705,874,736 : 81,736,777,488 = 81,736,777,488 : x
  2. Step 2: Convert to fraction form
    54,705,874,736/81,736,777,488 = 81,736,777,488/x
  3. Step 3: Cross multiply
    54,705,874,736x = 81,736,777,488 × 81,736,777,488
  4. Step 4: Simplify right side
    54,705,874,736x = 6,680,900,794,122,824,056,832
  5. Step 5: Solve for x
    x = 6,680,900,794,122,824,056,832/54,705,874,736
  6. Step 6: Final answer
    x = 122,124,010,014.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.