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Finding the Third Proportional to 2,970,270,796.50 and 6,294,608,145

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Solution

The third proportional to 2,970,270,796.50 and 6,294,608,145 is: 13,339,555,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970,270,796.50 : 6,294,608,145 = 6,294,608,145 : x
  2. Step 2: Convert to fraction form
    2,970,270,796.50/6,294,608,145 = 6,294,608,145/x
  3. Step 3: Cross multiply
    2,970,270,796.50x = 6,294,608,145 × 6,294,608,145
  4. Step 4: Simplify right side
    2,970,270,796.50x = 39,622,091,699,100,344,320
  5. Step 5: Solve for x
    x = 39,622,091,699,100,344,320/2,970,270,796.50
  6. Step 6: Final answer
    x = 13,339,555,351.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.