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Finding the Third Proportional to 345,263,245 and 739,651,370

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Solution

The third proportional to 345,263,245 and 739,651,370 is: 1,584,542,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,263,245 : 739,651,370 = 739,651,370 : x
  2. Step 2: Convert to fraction form
    345,263,245/739,651,370 = 739,651,370/x
  3. Step 3: Cross multiply
    345,263,245x = 739,651,370 × 739,651,370
  4. Step 4: Simplify right side
    345,263,245x = 547,084,149,142,876,928
  5. Step 5: Solve for x
    x = 547,084,149,142,876,928/345,263,245
  6. Step 6: Final answer
    x = 1,584,542,105.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.