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Finding the Third Proportional to 19,734,431,878 and 42,614,189,942

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Solution

The third proportional to 19,734,431,878 and 42,614,189,942 is: 92,020,342,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734,431,878 : 42,614,189,942 = 42,614,189,942 : x
  2. Step 2: Convert to fraction form
    19,734,431,878/42,614,189,942 = 42,614,189,942/x
  3. Step 3: Cross multiply
    19,734,431,878x = 42,614,189,942 × 42,614,189,942
  4. Step 4: Simplify right side
    19,734,431,878x = 1,815,969,184,412,853,862,400
  5. Step 5: Solve for x
    x = 1,815,969,184,412,853,862,400/19,734,431,878
  6. Step 6: Final answer
    x = 92,020,342,700.48

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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.