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Finding the Third Proportional to 3,848,026,016 and 5,948,748,975

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Solution

The third proportional to 3,848,026,016 and 5,948,748,975 is: 9,196,303,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848,026,016 : 5,948,748,975 = 5,948,748,975 : x
  2. Step 2: Convert to fraction form
    3,848,026,016/5,948,748,975 = 5,948,748,975/x
  3. Step 3: Cross multiply
    3,848,026,016x = 5,948,748,975 × 5,948,748,975
  4. Step 4: Simplify right side
    3,848,026,016x = 35,387,614,367,563,550,720
  5. Step 5: Solve for x
    x = 35,387,614,367,563,550,720/3,848,026,016
  6. Step 6: Final answer
    x = 9,196,303,304.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.