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Finding the Third Proportional to 6,282,268,636 and 9,740,873,814

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Solution

The third proportional to 6,282,268,636 and 9,740,873,814 is: 15,103,560,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282,268,636 : 9,740,873,814 = 9,740,873,814 : x
  2. Step 2: Convert to fraction form
    6,282,268,636/9,740,873,814 = 9,740,873,814/x
  3. Step 3: Cross multiply
    6,282,268,636x = 9,740,873,814 × 9,740,873,814
  4. Step 4: Simplify right side
    6,282,268,636x = 94,884,622,660,270,899,200
  5. Step 5: Solve for x
    x = 94,884,622,660,270,899,200/6,282,268,636
  6. Step 6: Final answer
    x = 15,103,560,219.72

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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.