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Finding the Third Proportional to 118,053,481,372 and 254,918,239,968

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Solution

The third proportional to 118,053,481,372 and 254,918,239,968 is: 550,456,524,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,053,481,372 : 254,918,239,968 = 254,918,239,968 : x
  2. Step 2: Convert to fraction form
    118,053,481,372/254,918,239,968 = 254,918,239,968/x
  3. Step 3: Cross multiply
    118,053,481,372x = 254,918,239,968 × 254,918,239,968
  4. Step 4: Simplify right side
    118,053,481,372x = 64,983,309,068,382,832,164,864
  5. Step 5: Solve for x
    x = 64,983,309,068,382,832,164,864/118,053,481,372
  6. Step 6: Final answer
    x = 550,456,524,561.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.