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Finding the Third Proportional to 53,924,853,292 and 117,235,615,543

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Solution

The third proportional to 53,924,853,292 and 117,235,615,543 is: 254,876,716,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,924,853,292 : 117,235,615,543 = 117,235,615,543 : x
  2. Step 2: Convert to fraction form
    53,924,853,292/117,235,615,543 = 117,235,615,543/x
  3. Step 3: Cross multiply
    53,924,853,292x = 117,235,615,543 × 117,235,615,543
  4. Step 4: Simplify right side
    53,924,853,292x = 13,744,189,551,746,102,591,488
  5. Step 5: Solve for x
    x = 13,744,189,551,746,102,591,488/53,924,853,292
  6. Step 6: Final answer
    x = 254,876,716,628.64

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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.