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Finding the Third Proportional to 2,771,969,816 and 4,227,772,809

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Solution

The third proportional to 2,771,969,816 and 4,227,772,809 is: 6,448,144,861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,969,816 : 4,227,772,809 = 4,227,772,809 : x
  2. Step 2: Convert to fraction form
    2,771,969,816/4,227,772,809 = 4,227,772,809/x
  3. Step 3: Cross multiply
    2,771,969,816x = 4,227,772,809 × 4,227,772,809
  4. Step 4: Simplify right side
    2,771,969,816x = 17,874,062,924,519,749,632
  5. Step 5: Solve for x
    x = 17,874,062,924,519,749,632/2,771,969,816
  6. Step 6: Final answer
    x = 6,448,144,861.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.