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Finding the Third Proportional to 53,924,853,094 and 117,235,615,098

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Solution

The third proportional to 53,924,853,094 and 117,235,615,098 is: 254,876,715,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,924,853,094 : 117,235,615,098 = 117,235,615,098 : x
  2. Step 2: Convert to fraction form
    53,924,853,094/117,235,615,098 = 117,235,615,098/x
  3. Step 3: Cross multiply
    53,924,853,094x = 117,235,615,098 × 117,235,615,098
  4. Step 4: Simplify right side
    53,924,853,094x = 13,744,189,447,406,404,763,648
  5. Step 5: Solve for x
    x = 13,744,189,447,406,404,763,648/53,924,853,094
  6. Step 6: Final answer
    x = 254,876,715,629.58

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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.