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Finding the Third Proportional to 74,462,763,405 and 104,485,997,686

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Solution

The third proportional to 74,462,763,405 and 104,485,997,686 is: 146,614,538,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,462,763,405 : 104,485,997,686 = 104,485,997,686 : x
  2. Step 2: Convert to fraction form
    74,462,763,405/104,485,997,686 = 104,485,997,686/x
  3. Step 3: Cross multiply
    74,462,763,405x = 104,485,997,686 × 104,485,997,686
  4. Step 4: Simplify right side
    74,462,763,405x = 10,917,323,712,438,797,860,864
  5. Step 5: Solve for x
    x = 10,917,323,712,438,797,860,864/74,462,763,405
  6. Step 6: Final answer
    x = 146,614,538,773.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.