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Finding the Third Proportional to 5,394,900,312,840 and 11,649,654,171,774

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Solution

The third proportional to 5,394,900,312,840 and 11,649,654,171,774 is: 25,156,061,178,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394,900,312,840 : 11,649,654,171,774 = 11,649,654,171,774 : x
  2. Step 2: Convert to fraction form
    5,394,900,312,840/11,649,654,171,774 = 11,649,654,171,774/x
  3. Step 3: Cross multiply
    5,394,900,312,840x = 11,649,654,171,774 × 11,649,654,171,774
  4. Step 4: Simplify right side
    5,394,900,312,840x = 135,714,442,321,931,361,765,556,224
  5. Step 5: Solve for x
    x = 135,714,442,321,931,361,765,556,224/5,394,900,312,840
  6. Step 6: Final answer
    x = 25,156,061,178,540.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.