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Finding the Third Proportional to 122,653,611 and 269,138,768

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Solution

The third proportional to 122,653,611 and 269,138,768 is: 590,571,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,653,611 : 269,138,768 = 269,138,768 : x
  2. Step 2: Convert to fraction form
    122,653,611/269,138,768 = 269,138,768/x
  3. Step 3: Cross multiply
    122,653,611x = 269,138,768 × 269,138,768
  4. Step 4: Simplify right side
    122,653,611x = 72,435,676,440,557,824
  5. Step 5: Solve for x
    x = 72,435,676,440,557,824/122,653,611
  6. Step 6: Final answer
    x = 590,571,087.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.