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Finding the Third Proportional to 2,220,751,356 and 3,449,729,706

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Solution

The third proportional to 2,220,751,356 and 3,449,729,706 is: 5,358,832,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220,751,356 : 3,449,729,706 = 3,449,729,706 : x
  2. Step 2: Convert to fraction form
    2,220,751,356/3,449,729,706 = 3,449,729,706/x
  3. Step 3: Cross multiply
    2,220,751,356x = 3,449,729,706 × 3,449,729,706
  4. Step 4: Simplify right side
    2,220,751,356x = 11,900,635,044,458,846,208
  5. Step 5: Solve for x
    x = 11,900,635,044,458,846,208/2,220,751,356
  6. Step 6: Final answer
    x = 5,358,832,726.73

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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.