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Finding the Third Proportional to 20,909,856 and 45,023,520

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Solution

The third proportional to 20,909,856 and 45,023,520 is: 96,945,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,909,856 : 45,023,520 = 45,023,520 : x
  2. Step 2: Convert to fraction form
    20,909,856/45,023,520 = 45,023,520/x
  3. Step 3: Cross multiply
    20,909,856x = 45,023,520 × 45,023,520
  4. Step 4: Simplify right side
    20,909,856x = 2,027,117,353,190,400
  5. Step 5: Solve for x
    x = 2,027,117,353,190,400/20,909,856
  6. Step 6: Final answer
    x = 96,945,543.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.