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Finding the Third Proportional to 1,168,767,623 and 2,571,285,922

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Solution

The third proportional to 1,168,767,623 and 2,571,285,922 is: 5,656,822,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,767,623 : 2,571,285,922 = 2,571,285,922 : x
  2. Step 2: Convert to fraction form
    1,168,767,623/2,571,285,922 = 2,571,285,922/x
  3. Step 3: Cross multiply
    1,168,767,623x = 2,571,285,922 × 2,571,285,922
  4. Step 4: Simplify right side
    1,168,767,623x = 6,611,511,292,675,390,464
  5. Step 5: Solve for x
    x = 6,611,511,292,675,390,464/1,168,767,623
  6. Step 6: Final answer
    x = 5,656,822,761.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.