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Finding the Third Proportional to 2,324,120,197 and 4,979,806,653

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Solution

The third proportional to 2,324,120,197 and 4,979,806,653 is: 10,670,048,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324,120,197 : 4,979,806,653 = 4,979,806,653 : x
  2. Step 2: Convert to fraction form
    2,324,120,197/4,979,806,653 = 4,979,806,653/x
  3. Step 3: Cross multiply
    2,324,120,197x = 4,979,806,653 × 4,979,806,653
  4. Step 4: Simplify right side
    2,324,120,197x = 24,798,474,301,263,060,992
  5. Step 5: Solve for x
    x = 24,798,474,301,263,060,992/2,324,120,197
  6. Step 6: Final answer
    x = 10,670,048,103.91

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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.