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Finding the Third Proportional to 378,794,166,602 and 824,271,365,620

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Solution

The third proportional to 378,794,166,602 and 824,271,365,620 is: 1,793,647,695,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,794,166,602 : 824,271,365,620 = 824,271,365,620 : x
  2. Step 2: Convert to fraction form
    378,794,166,602/824,271,365,620 = 824,271,365,620/x
  3. Step 3: Cross multiply
    378,794,166,602x = 824,271,365,620 × 824,271,365,620
  4. Step 4: Simplify right side
    378,794,166,602x = 679,423,284,181,059,768,418,304
  5. Step 5: Solve for x
    x = 679,423,284,181,059,768,418,304/378,794,166,602
  6. Step 6: Final answer
    x = 1,793,647,695,992.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.