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Finding the Third Proportional to 2,325,693,022 and 3,574,757,633

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Solution

The third proportional to 2,325,693,022 and 3,574,757,633 is: 5,494,659,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325,693,022 : 3,574,757,633 = 3,574,757,633 : x
  2. Step 2: Convert to fraction form
    2,325,693,022/3,574,757,633 = 3,574,757,633/x
  3. Step 3: Cross multiply
    2,325,693,022x = 3,574,757,633 × 3,574,757,633
  4. Step 4: Simplify right side
    2,325,693,022x = 12,778,892,134,691,762,176
  5. Step 5: Solve for x
    x = 12,778,892,134,691,762,176/2,325,693,022
  6. Step 6: Final answer
    x = 5,494,659,877.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.