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Finding the Third Proportional to 2,220,751,359 and 3,449,729,709

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Solution

The third proportional to 2,220,751,359 and 3,449,729,709 is: 5,358,832,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220,751,359 : 3,449,729,709 = 3,449,729,709 : x
  2. Step 2: Convert to fraction form
    2,220,751,359/3,449,729,709 = 3,449,729,709/x
  3. Step 3: Cross multiply
    2,220,751,359x = 3,449,729,709 × 3,449,729,709
  4. Step 4: Simplify right side
    2,220,751,359x = 11,900,635,065,157,224,448
  5. Step 5: Solve for x
    x = 11,900,635,065,157,224,448/2,220,751,359
  6. Step 6: Final answer
    x = 5,358,832,728.81

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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.