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Finding the Third Proportional to 4,251,405,806 and 5,984,307,378

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Solution

The third proportional to 4,251,405,806 and 5,984,307,378 is: 8,423,551,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251,405,806 : 5,984,307,378 = 5,984,307,378 : x
  2. Step 2: Convert to fraction form
    4,251,405,806/5,984,307,378 = 5,984,307,378/x
  3. Step 3: Cross multiply
    4,251,405,806x = 5,984,307,378 × 5,984,307,378
  4. Step 4: Simplify right side
    4,251,405,806x = 35,811,934,794,385,235,968
  5. Step 5: Solve for x
    x = 35,811,934,794,385,235,968/4,251,405,806
  6. Step 6: Final answer
    x = 8,423,551,274.23

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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.