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Finding the Third Proportional to 9,305,970,892,695.80 and 20,364,990,744,474

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Solution

The third proportional to 9,305,970,892,695.80 and 20,364,990,744,474 is: 44,566,316,916,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305,970,892,695.80 : 20,364,990,744,474 = 20,364,990,744,474 : x
  2. Step 2: Convert to fraction form
    9,305,970,892,695.80/20,364,990,744,474 = 20,364,990,744,474/x
  3. Step 3: Cross multiply
    9,305,970,892,695.80x = 20,364,990,744,474 × 20,364,990,744,474
  4. Step 4: Simplify right side
    9,305,970,892,695.80x = 414,732,848,022,511,687,038,926,848
  5. Step 5: Solve for x
    x = 414,732,848,022,511,687,038,926,848/9,305,970,892,695.80
  6. Step 6: Final answer
    x = 44,566,316,916,812.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.