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Finding the Third Proportional to 3,444,247,542,918.90 and 7,379,769,964,400

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Solution

The third proportional to 3,444,247,542,918.90 and 7,379,769,964,400 is: 15,812,163,338,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444,247,542,918.90 : 7,379,769,964,400 = 7,379,769,964,400 : x
  2. Step 2: Convert to fraction form
    3,444,247,542,918.90/7,379,769,964,400 = 7,379,769,964,400/x
  3. Step 3: Cross multiply
    3,444,247,542,918.90x = 7,379,769,964,400 × 7,379,769,964,400
  4. Step 4: Simplify right side
    3,444,247,542,918.90x = 54,461,004,727,460,375,776,198,656
  5. Step 5: Solve for x
    x = 54,461,004,727,460,375,776,198,656/3,444,247,542,918.90
  6. Step 6: Final answer
    x = 15,812,163,338,674.04

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Why These Related Problems?

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