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Finding the Third Proportional to 41,109,226,238 and 65,412,860,367

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Solution

The third proportional to 41,109,226,238 and 65,412,860,367 is: 104,084,719,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,109,226,238 : 65,412,860,367 = 65,412,860,367 : x
  2. Step 2: Convert to fraction form
    41,109,226,238/65,412,860,367 = 65,412,860,367/x
  3. Step 3: Cross multiply
    41,109,226,238x = 65,412,860,367 × 65,412,860,367
  4. Step 4: Simplify right side
    41,109,226,238x = 4,278,842,301,392,639,492,096
  5. Step 5: Solve for x
    x = 4,278,842,301,392,639,492,096/41,109,226,238
  6. Step 6: Final answer
    x = 104,084,719,975.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.