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Finding the Third Proportional to 53,924,853,092 and 117,235,615,094

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Solution

The third proportional to 53,924,853,092 and 117,235,615,094 is: 254,876,715,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,924,853,092 : 117,235,615,094 = 117,235,615,094 : x
  2. Step 2: Convert to fraction form
    53,924,853,092/117,235,615,094 = 117,235,615,094/x
  3. Step 3: Cross multiply
    53,924,853,092x = 117,235,615,094 × 117,235,615,094
  4. Step 4: Simplify right side
    53,924,853,092x = 13,744,189,446,468,520,640,512
  5. Step 5: Solve for x
    x = 13,744,189,446,468,520,640,512/53,924,853,092
  6. Step 6: Final answer
    x = 254,876,715,621.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.