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Finding the Third Proportional to 3,270,314,974 and 7,173,769,994

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Solution

The third proportional to 3,270,314,974 and 7,173,769,994 is: 15,736,397,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,314,974 : 7,173,769,994 = 7,173,769,994 : x
  2. Step 2: Convert to fraction form
    3,270,314,974/7,173,769,994 = 7,173,769,994/x
  3. Step 3: Cross multiply
    3,270,314,974x = 7,173,769,994 × 7,173,769,994
  4. Step 4: Simplify right side
    3,270,314,974x = 51,462,975,926,814,760,960
  5. Step 5: Solve for x
    x = 51,462,975,926,814,760,960/3,270,314,974
  6. Step 6: Final answer
    x = 15,736,397,361.10

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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.