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Finding the Third Proportional to 3,270,314,907 and 7,173,769,791

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Solution

The third proportional to 3,270,314,907 and 7,173,769,791 is: 15,736,396,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,314,907 : 7,173,769,791 = 7,173,769,791 : x
  2. Step 2: Convert to fraction form
    3,270,314,907/7,173,769,791 = 7,173,769,791/x
  3. Step 3: Cross multiply
    3,270,314,907x = 7,173,769,791 × 7,173,769,791
  4. Step 4: Simplify right side
    3,270,314,907x = 51,462,973,014,264,184,832
  5. Step 5: Solve for x
    x = 51,462,973,014,264,184,832/3,270,314,907
  6. Step 6: Final answer
    x = 15,736,396,792.89

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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.