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Finding the Third Proportional to 3,278,894,162 and 5,036,740,779

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Solution

The third proportional to 3,278,894,162 and 5,036,740,779 is: 7,736,985,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278,894,162 : 5,036,740,779 = 5,036,740,779 : x
  2. Step 2: Convert to fraction form
    3,278,894,162/5,036,740,779 = 5,036,740,779/x
  3. Step 3: Cross multiply
    3,278,894,162x = 5,036,740,779 × 5,036,740,779
  4. Step 4: Simplify right side
    3,278,894,162x = 25,368,757,674,841,526,272
  5. Step 5: Solve for x
    x = 25,368,757,674,841,526,272/3,278,894,162
  6. Step 6: Final answer
    x = 7,736,985,831.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.