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Finding the Third Proportional to 4,765,616,857,736 and 6,687,103,851,660

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Solution

The third proportional to 4,765,616,857,736 and 6,687,103,851,660 is: 9,383,330,481,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765,616,857,736 : 6,687,103,851,660 = 6,687,103,851,660 : x
  2. Step 2: Convert to fraction form
    4,765,616,857,736/6,687,103,851,660 = 6,687,103,851,660/x
  3. Step 3: Cross multiply
    4,765,616,857,736x = 6,687,103,851,660 × 6,687,103,851,660
  4. Step 4: Simplify right side
    4,765,616,857,736x = 44,717,357,922,886,008,476,532,736
  5. Step 5: Solve for x
    x = 44,717,357,922,886,008,476,532,736/4,765,616,857,736
  6. Step 6: Final answer
    x = 9,383,330,481,193.97

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.