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Finding the Third Proportional to 20,728,255,468 and 44,759,421,080

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Solution

The third proportional to 20,728,255,468 and 44,759,421,080 is: 96,650,959,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728,255,468 : 44,759,421,080 = 44,759,421,080 : x
  2. Step 2: Convert to fraction form
    20,728,255,468/44,759,421,080 = 44,759,421,080/x
  3. Step 3: Cross multiply
    20,728,255,468x = 44,759,421,080 × 44,759,421,080
  4. Step 4: Simplify right side
    20,728,255,468x = 2,003,405,775,416,748,408,832
  5. Step 5: Solve for x
    x = 2,003,405,775,416,748,408,832/20,728,255,468
  6. Step 6: Final answer
    x = 96,650,959,291.27

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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.