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Finding the Third Proportional to 40,727,632,828.50 and 87,679,715,760

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Solution

The third proportional to 40,727,632,828.50 and 87,679,715,760 is: 188,759,621,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,727,632,828.50 : 87,679,715,760 = 87,679,715,760 : x
  2. Step 2: Convert to fraction form
    40,727,632,828.50/87,679,715,760 = 87,679,715,760/x
  3. Step 3: Cross multiply
    40,727,632,828.50x = 87,679,715,760 × 87,679,715,760
  4. Step 4: Simplify right side
    40,727,632,828.50x = 7,687,732,555,754,391,994,368
  5. Step 5: Solve for x
    x = 7,687,732,555,754,391,994,368/40,727,632,828.50
  6. Step 6: Final answer
    x = 188,759,621,462.08

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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.