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Finding the Third Proportional to 19,734,431,872 and 42,614,189,929

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Solution

The third proportional to 19,734,431,872 and 42,614,189,929 is: 92,020,342,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734,431,872 : 42,614,189,929 = 42,614,189,929 : x
  2. Step 2: Convert to fraction form
    19,734,431,872/42,614,189,929 = 42,614,189,929/x
  3. Step 3: Cross multiply
    19,734,431,872x = 42,614,189,929 × 42,614,189,929
  4. Step 4: Simplify right side
    19,734,431,872x = 1,815,969,183,304,884,944,896
  5. Step 5: Solve for x
    x = 1,815,969,183,304,884,944,896/19,734,431,872
  6. Step 6: Final answer
    x = 92,020,342,672.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.