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Finding the Third Proportional to 53,924,853,088 and 117,235,615,088

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Solution

The third proportional to 53,924,853,088 and 117,235,615,088 is: 254,876,715,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,924,853,088 : 117,235,615,088 = 117,235,615,088 : x
  2. Step 2: Convert to fraction form
    53,924,853,088/117,235,615,088 = 117,235,615,088/x
  3. Step 3: Cross multiply
    53,924,853,088x = 117,235,615,088 × 117,235,615,088
  4. Step 4: Simplify right side
    53,924,853,088x = 13,744,189,445,061,692,358,656
  5. Step 5: Solve for x
    x = 13,744,189,445,061,692,358,656/53,924,853,088
  6. Step 6: Final answer
    x = 254,876,715,614.46

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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.