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Finding the Third Proportional to 4,600,065,297.73 and 9,846,330,450.82

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Solution

The third proportional to 4,600,065,297.73 and 9,846,330,450.82 is: 21,075,836,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600,065,297.73 : 9,846,330,450.82 = 9,846,330,450.82 : x
  2. Step 2: Convert to fraction form
    4,600,065,297.73/9,846,330,450.82 = 9,846,330,450.82/x
  3. Step 3: Cross multiply
    4,600,065,297.73x = 9,846,330,450.82 × 9,846,330,450.82
  4. Step 4: Simplify right side
    4,600,065,297.73x = 96,950,223,346,749,128,704
  5. Step 5: Solve for x
    x = 96,950,223,346,749,128,704/4,600,065,297.73
  6. Step 6: Final answer
    x = 21,075,836,335.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.