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Finding the Third Proportional to 16,587,562,416 and 36,556,198,416

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Solution

The third proportional to 16,587,562,416 and 36,556,198,416 is: 80,563,714,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,587,562,416 : 36,556,198,416 = 36,556,198,416 : x
  2. Step 2: Convert to fraction form
    16,587,562,416/36,556,198,416 = 36,556,198,416/x
  3. Step 3: Cross multiply
    16,587,562,416x = 36,556,198,416 × 36,556,198,416
  4. Step 4: Simplify right side
    16,587,562,416x = 1,336,355,642,629,961,023,488
  5. Step 5: Solve for x
    x = 1,336,355,642,629,961,023,488/16,587,562,416
  6. Step 6: Final answer
    x = 80,563,714,493.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.