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Finding the Third Proportional to 9,763,758,661 and 21,191,990,534

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Solution

The third proportional to 9,763,758,661 and 21,191,990,534 is: 45,996,677,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763,758,661 : 21,191,990,534 = 21,191,990,534 : x
  2. Step 2: Convert to fraction form
    9,763,758,661/21,191,990,534 = 21,191,990,534/x
  3. Step 3: Cross multiply
    9,763,758,661x = 21,191,990,534 × 21,191,990,534
  4. Step 4: Simplify right side
    9,763,758,661x = 449,100,462,793,145,581,568
  5. Step 5: Solve for x
    x = 449,100,462,793,145,581,568/9,763,758,661
  6. Step 6: Final answer
    x = 45,996,677,958.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.