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Finding the Third Proportional to 4,723,069 and 9,782,194

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Solution

The third proportional to 4,723,069 and 9,782,194 is: 20,260,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,069 : 9,782,194 = 9,782,194 : x
  2. Step 2: Convert to fraction form
    4,723,069/9,782,194 = 9,782,194/x
  3. Step 3: Cross multiply
    4,723,069x = 9,782,194 × 9,782,194
  4. Step 4: Simplify right side
    4,723,069x = 95,691,319,453,636
  5. Step 5: Solve for x
    x = 95,691,319,453,636/4,723,069
  6. Step 6: Final answer
    x = 20,260,411.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.