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Finding the Third Proportional to 16,415,449,326 and 33,287,677,704

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Solution

The third proportional to 16,415,449,326 and 33,287,677,704 is: 67,501,623,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415,449,326 : 33,287,677,704 = 33,287,677,704 : x
  2. Step 2: Convert to fraction form
    16,415,449,326/33,287,677,704 = 33,287,677,704/x
  3. Step 3: Cross multiply
    16,415,449,326x = 33,287,677,704 × 33,287,677,704
  4. Step 4: Simplify right side
    16,415,449,326x = 1,108,069,486,925,378,748,416
  5. Step 5: Solve for x
    x = 1,108,069,486,925,378,748,416/16,415,449,326
  6. Step 6: Final answer
    x = 67,501,623,922.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.