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Finding the Third Proportional to 43,665,378,954 and 67,075,364,050

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Solution

The third proportional to 43,665,378,954 and 67,075,364,050 is: 103,035,965,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,665,378,954 : 67,075,364,050 = 67,075,364,050 : x
  2. Step 2: Convert to fraction form
    43,665,378,954/67,075,364,050 = 67,075,364,050/x
  3. Step 3: Cross multiply
    43,665,378,954x = 67,075,364,050 × 67,075,364,050
  4. Step 4: Simplify right side
    43,665,378,954x = 4,499,104,462,440,032,632,832
  5. Step 5: Solve for x
    x = 4,499,104,462,440,032,632,832/43,665,378,954
  6. Step 6: Final answer
    x = 103,035,965,110.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.