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Finding the Third Proportional to 21,829,000 and 47,530,676

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Solution

The third proportional to 21,829,000 and 47,530,676 is: 103,493,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829,000 : 47,530,676 = 47,530,676 : x
  2. Step 2: Convert to fraction form
    21,829,000/47,530,676 = 47,530,676/x
  3. Step 3: Cross multiply
    21,829,000x = 47,530,676 × 47,530,676
  4. Step 4: Simplify right side
    21,829,000x = 2,259,165,161,016,976
  5. Step 5: Solve for x
    x = 2,259,165,161,016,976/21,829,000
  6. Step 6: Final answer
    x = 103,493,754.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.