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Finding the Third Proportional to 12,298,024,373,801 and 25,613,948,751,274

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Solution

The third proportional to 12,298,024,373,801 and 25,613,948,751,274 is: 53,347,948,474,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298,024,373,801 : 25,613,948,751,274 = 25,613,948,751,274 : x
  2. Step 2: Convert to fraction form
    12,298,024,373,801/25,613,948,751,274 = 25,613,948,751,274/x
  3. Step 3: Cross multiply
    12,298,024,373,801x = 25,613,948,751,274 × 25,613,948,751,274
  4. Step 4: Simplify right side
    12,298,024,373,801x = 656,074,370,632,890,958,168,981,504
  5. Step 5: Solve for x
    x = 656,074,370,632,890,958,168,981,504/12,298,024,373,801
  6. Step 6: Final answer
    x = 53,347,948,474,598.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.