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Finding the Third Proportional to 3,314,530,620 and 7,180,745,656

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Solution

The third proportional to 3,314,530,620 and 7,180,745,656 is: 15,556,684,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314,530,620 : 7,180,745,656 = 7,180,745,656 : x
  2. Step 2: Convert to fraction form
    3,314,530,620/7,180,745,656 = 7,180,745,656/x
  3. Step 3: Cross multiply
    3,314,530,620x = 7,180,745,656 × 7,180,745,656
  4. Step 4: Simplify right side
    3,314,530,620x = 51,563,108,176,162,873,344
  5. Step 5: Solve for x
    x = 51,563,108,176,162,873,344/3,314,530,620
  6. Step 6: Final answer
    x = 15,556,684,818.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.