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Finding the Third Proportional to 14,372,463,740 and 31,275,740,292

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Solution

The third proportional to 14,372,463,740 and 31,275,740,292 is: 68,058,750,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372,463,740 : 31,275,740,292 = 31,275,740,292 : x
  2. Step 2: Convert to fraction form
    14,372,463,740/31,275,740,292 = 31,275,740,292/x
  3. Step 3: Cross multiply
    14,372,463,740x = 31,275,740,292 × 31,275,740,292
  4. Step 4: Simplify right side
    14,372,463,740x = 978,171,930,812,632,268,800
  5. Step 5: Solve for x
    x = 978,171,930,812,632,268,800/14,372,463,740
  6. Step 6: Final answer
    x = 68,058,750,991.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.