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Finding the Third Proportional to 1,219,090,198 and 2,671,084,412

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Solution

The third proportional to 1,219,090,198 and 2,671,084,412 is: 5,852,472,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219,090,198 : 2,671,084,412 = 2,671,084,412 : x
  2. Step 2: Convert to fraction form
    1,219,090,198/2,671,084,412 = 2,671,084,412/x
  3. Step 3: Cross multiply
    1,219,090,198x = 2,671,084,412 × 2,671,084,412
  4. Step 4: Simplify right side
    1,219,090,198x = 7,134,691,936,029,385,728
  5. Step 5: Solve for x
    x = 7,134,691,936,029,385,728/1,219,090,198
  6. Step 6: Final answer
    x = 5,852,472,563.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.