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Finding the Third Proportional to 1,923,077,309 and 4,167,123,018

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Solution

The third proportional to 1,923,077,309 and 4,167,123,018 is: 9,029,753,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,077,309 : 4,167,123,018 = 4,167,123,018 : x
  2. Step 2: Convert to fraction form
    1,923,077,309/4,167,123,018 = 4,167,123,018/x
  3. Step 3: Cross multiply
    1,923,077,309x = 4,167,123,018 × 4,167,123,018
  4. Step 4: Simplify right side
    1,923,077,309x = 17,364,914,247,145,428,992
  5. Step 5: Solve for x
    x = 17,364,914,247,145,428,992/1,923,077,309
  6. Step 6: Final answer
    x = 9,029,753,596.42

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