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Finding the Third Proportional to 6,563,659,923 and 14,122,820,075

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Solution

The third proportional to 6,563,659,923 and 14,122,820,075 is: 30,387,626,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563,659,923 : 14,122,820,075 = 14,122,820,075 : x
  2. Step 2: Convert to fraction form
    6,563,659,923/14,122,820,075 = 14,122,820,075/x
  3. Step 3: Cross multiply
    6,563,659,923x = 14,122,820,075 × 14,122,820,075
  4. Step 4: Simplify right side
    6,563,659,923x = 199,454,046,870,823,010,304
  5. Step 5: Solve for x
    x = 199,454,046,870,823,010,304/6,563,659,923
  6. Step 6: Final answer
    x = 30,387,626,600.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.