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Finding the Third Proportional to 6,282,268,638 and 9,740,873,817

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Solution

The third proportional to 6,282,268,638 and 9,740,873,817 is: 15,103,560,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282,268,638 : 9,740,873,817 = 9,740,873,817 : x
  2. Step 2: Convert to fraction form
    6,282,268,638/9,740,873,817 = 9,740,873,817/x
  3. Step 3: Cross multiply
    6,282,268,638x = 9,740,873,817 × 9,740,873,817
  4. Step 4: Simplify right side
    6,282,268,638x = 94,884,622,718,716,149,760
  5. Step 5: Solve for x
    x = 94,884,622,718,716,149,760/6,282,268,638
  6. Step 6: Final answer
    x = 15,103,560,224.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.