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Finding the Third Proportional to 41,109,226,176 and 65,412,860,274

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Solution

The third proportional to 41,109,226,176 and 65,412,860,274 is: 104,084,719,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,109,226,176 : 65,412,860,274 = 65,412,860,274 : x
  2. Step 2: Convert to fraction form
    41,109,226,176/65,412,860,274 = 65,412,860,274/x
  3. Step 3: Cross multiply
    41,109,226,176x = 65,412,860,274 × 65,412,860,274
  4. Step 4: Simplify right side
    41,109,226,176x = 4,278,842,289,225,847,537,664
  5. Step 5: Solve for x
    x = 4,278,842,289,225,847,537,664/41,109,226,176
  6. Step 6: Final answer
    x = 104,084,719,836.54

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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.