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Finding the Third Proportional to 19,994,722,969 and 42,998,582,979

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Solution

The third proportional to 19,994,722,969 and 42,998,582,979 is: 92,468,304,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,994,722,969 : 42,998,582,979 = 42,998,582,979 : x
  2. Step 2: Convert to fraction form
    19,994,722,969/42,998,582,979 = 42,998,582,979/x
  3. Step 3: Cross multiply
    19,994,722,969x = 42,998,582,979 × 42,998,582,979
  4. Step 4: Simplify right side
    19,994,722,969x = 1,848,878,138,201,948,553,216
  5. Step 5: Solve for x
    x = 1,848,878,138,201,948,553,216/19,994,722,969
  6. Step 6: Final answer
    x = 92,468,304,815.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.