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Finding the Third Proportional to 17,474,962,298 and 38,511,878,392

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Solution

The third proportional to 17,474,962,298 and 38,511,878,392 is: 84,873,703,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474,962,298 : 38,511,878,392 = 38,511,878,392 : x
  2. Step 2: Convert to fraction form
    17,474,962,298/38,511,878,392 = 38,511,878,392/x
  3. Step 3: Cross multiply
    17,474,962,298x = 38,511,878,392 × 38,511,878,392
  4. Step 4: Simplify right side
    17,474,962,298x = 1,483,164,777,280,196,575,232
  5. Step 5: Solve for x
    x = 1,483,164,777,280,196,575,232/17,474,962,298
  6. Step 6: Final answer
    x = 84,873,703,987.90

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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.