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Finding the Third Proportional to 7,196,326,443 and 16,046,383,689

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Solution

The third proportional to 7,196,326,443 and 16,046,383,689 is: 35,780,259,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196,326,443 : 16,046,383,689 = 16,046,383,689 : x
  2. Step 2: Convert to fraction form
    7,196,326,443/16,046,383,689 = 16,046,383,689/x
  3. Step 3: Cross multiply
    7,196,326,443x = 16,046,383,689 × 16,046,383,689
  4. Step 4: Simplify right side
    7,196,326,443x = 257,486,429,494,605,250,560
  5. Step 5: Solve for x
    x = 257,486,429,494,605,250,560/7,196,326,443
  6. Step 6: Final answer
    x = 35,780,259,766.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.