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Finding the Third Proportional to 1,821,182,780 and 3,918,581,464

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Solution

The third proportional to 1,821,182,780 and 3,918,581,464 is: 8,431,487,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,182,780 : 3,918,581,464 = 3,918,581,464 : x
  2. Step 2: Convert to fraction form
    1,821,182,780/3,918,581,464 = 3,918,581,464/x
  3. Step 3: Cross multiply
    1,821,182,780x = 3,918,581,464 × 3,918,581,464
  4. Step 4: Simplify right side
    1,821,182,780x = 15,355,280,690,004,383,744
  5. Step 5: Solve for x
    x = 15,355,280,690,004,383,744/1,821,182,780
  6. Step 6: Final answer
    x = 8,431,487,964.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.