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Finding the Third Proportional to 40,727,632,848 and 87,679,715,800

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Solution

The third proportional to 40,727,632,848 and 87,679,715,800 is: 188,759,621,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,727,632,848 : 87,679,715,800 = 87,679,715,800 : x
  2. Step 2: Convert to fraction form
    40,727,632,848/87,679,715,800 = 87,679,715,800/x
  3. Step 3: Cross multiply
    40,727,632,848x = 87,679,715,800 × 87,679,715,800
  4. Step 4: Simplify right side
    40,727,632,848x = 7,687,732,562,768,769,843,200
  5. Step 5: Solve for x
    x = 7,687,732,562,768,769,843,200/40,727,632,848
  6. Step 6: Final answer
    x = 188,759,621,543.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.