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Finding the Third Proportional to 8,650,405,276 and 13,400,613,672

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Solution

The third proportional to 8,650,405,276 and 13,400,613,672 is: 20,759,310,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650,405,276 : 13,400,613,672 = 13,400,613,672 : x
  2. Step 2: Convert to fraction form
    8,650,405,276/13,400,613,672 = 13,400,613,672/x
  3. Step 3: Cross multiply
    8,650,405,276x = 13,400,613,672 × 13,400,613,672
  4. Step 4: Simplify right side
    8,650,405,276x = 179,576,446,786,193,326,080
  5. Step 5: Solve for x
    x = 179,576,446,786,193,326,080/8,650,405,276
  6. Step 6: Final answer
    x = 20,759,310,235.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.