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Finding the Third Proportional to 345,346,699,299 and 770,099,795,526

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Solution

The third proportional to 345,346,699,299 and 770,099,795,526 is: 1,717,270,488,679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,346,699,299 : 770,099,795,526 = 770,099,795,526 : x
  2. Step 2: Convert to fraction form
    345,346,699,299/770,099,795,526 = 770,099,795,526/x
  3. Step 3: Cross multiply
    345,346,699,299x = 770,099,795,526 × 770,099,795,526
  4. Step 4: Simplify right side
    345,346,699,299x = 593,053,695,069,187,037,200,384
  5. Step 5: Solve for x
    x = 593,053,695,069,187,037,200,384/345,346,699,299
  6. Step 6: Final answer
    x = 1,717,270,488,679.91

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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.