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Finding the Third Proportional to 2,560,797,855 and 3,841,196,775.75

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Solution

The third proportional to 2,560,797,855 and 3,841,196,775.75 is: 5,761,795,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560,797,855 : 3,841,196,775.75 = 3,841,196,775.75 : x
  2. Step 2: Convert to fraction form
    2,560,797,855/3,841,196,775.75 = 3,841,196,775.75/x
  3. Step 3: Cross multiply
    2,560,797,855x = 3,841,196,775.75 × 3,841,196,775.75
  4. Step 4: Simplify right side
    2,560,797,855x = 14,754,792,670,032,195,584
  5. Step 5: Solve for x
    x = 14,754,792,670,032,195,584/2,560,797,855
  6. Step 6: Final answer
    x = 5,761,795,153.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.