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Finding the Third Proportional to 345,346,699,316 and 770,099,795,560

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Solution

The third proportional to 345,346,699,316 and 770,099,795,560 is: 1,717,270,488,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,346,699,316 : 770,099,795,560 = 770,099,795,560 : x
  2. Step 2: Convert to fraction form
    345,346,699,316/770,099,795,560 = 770,099,795,560/x
  3. Step 3: Cross multiply
    345,346,699,316x = 770,099,795,560 × 770,099,795,560
  4. Step 4: Simplify right side
    345,346,699,316x = 593,053,695,121,553,828,610,048
  5. Step 5: Solve for x
    x = 593,053,695,121,553,828,610,048/345,346,699,316
  6. Step 6: Final answer
    x = 1,717,270,488,747.01

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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.