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Finding the Third Proportional to 3,611,219,813 and 5,085,393,271

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Solution

The third proportional to 3,611,219,813 and 5,085,393,271 is: 7,161,354,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611,219,813 : 5,085,393,271 = 5,085,393,271 : x
  2. Step 2: Convert to fraction form
    3,611,219,813/5,085,393,271 = 5,085,393,271/x
  3. Step 3: Cross multiply
    3,611,219,813x = 5,085,393,271 × 5,085,393,271
  4. Step 4: Simplify right side
    3,611,219,813x = 25,861,224,720,732,078,080
  5. Step 5: Solve for x
    x = 25,861,224,720,732,078,080/3,611,219,813
  6. Step 6: Final answer
    x = 7,161,354,351.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.