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Finding the Third Proportional to 7,570,680,469.50 and 16,474,463,979

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Solution

The third proportional to 7,570,680,469.50 and 16,474,463,979 is: 35,849,876,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570,680,469.50 : 16,474,463,979 = 16,474,463,979 : x
  2. Step 2: Convert to fraction form
    7,570,680,469.50/16,474,463,979 = 16,474,463,979/x
  3. Step 3: Cross multiply
    7,570,680,469.50x = 16,474,463,979 × 16,474,463,979
  4. Step 4: Simplify right side
    7,570,680,469.50x = 271,407,963,395,368,517,632
  5. Step 5: Solve for x
    x = 271,407,963,395,368,517,632/7,570,680,469.50
  6. Step 6: Final answer
    x = 35,849,876,967.97

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