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Finding the Third Proportional to 9,996,872,042 and 20,821,179,100

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Solution

The third proportional to 9,996,872,042 and 20,821,179,100 is: 43,365,714,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996,872,042 : 20,821,179,100 = 20,821,179,100 : x
  2. Step 2: Convert to fraction form
    9,996,872,042/20,821,179,100 = 20,821,179,100/x
  3. Step 3: Cross multiply
    9,996,872,042x = 20,821,179,100 × 20,821,179,100
  4. Step 4: Simplify right side
    9,996,872,042x = 433,521,499,114,276,782,080
  5. Step 5: Solve for x
    x = 433,521,499,114,276,782,080/9,996,872,042
  6. Step 6: Final answer
    x = 43,365,714,524.80

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.