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Finding the Third Proportional to 9,608,978,702,119 and 21,053,727,811,962

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Solution

The third proportional to 9,608,978,702,119 and 21,053,727,811,962 is: 46,129,715,604,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608,978,702,119 : 21,053,727,811,962 = 21,053,727,811,962 : x
  2. Step 2: Convert to fraction form
    9,608,978,702,119/21,053,727,811,962 = 21,053,727,811,962/x
  3. Step 3: Cross multiply
    9,608,978,702,119x = 21,053,727,811,962 × 21,053,727,811,962
  4. Step 4: Simplify right side
    9,608,978,702,119x = 443,259,454,780,182,249,437,396,992
  5. Step 5: Solve for x
    x = 443,259,454,780,182,249,437,396,992/9,608,978,702,119
  6. Step 6: Final answer
    x = 46,129,715,604,680.59

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