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Finding the Third Proportional to 2,276,264,749 and 3,414,397,119

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Solution

The third proportional to 2,276,264,749 and 3,414,397,119 is: 5,121,595,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276,264,749 : 3,414,397,119 = 3,414,397,119 : x
  2. Step 2: Convert to fraction form
    2,276,264,749/3,414,397,119 = 3,414,397,119/x
  3. Step 3: Cross multiply
    2,276,264,749x = 3,414,397,119 × 3,414,397,119
  4. Step 4: Simplify right side
    2,276,264,749x = 11,658,107,686,235,500,544
  5. Step 5: Solve for x
    x = 11,658,107,686,235,500,544/2,276,264,749
  6. Step 6: Final answer
    x = 5,121,595,671.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.