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Finding the Third Proportional to 18,335,693,974 and 39,285,281,924

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Solution

The third proportional to 18,335,693,974 and 39,285,281,924 is: 84,170,982,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,335,693,974 : 39,285,281,924 = 39,285,281,924 : x
  2. Step 2: Convert to fraction form
    18,335,693,974/39,285,281,924 = 39,285,281,924/x
  3. Step 3: Cross multiply
    18,335,693,974x = 39,285,281,924 × 39,285,281,924
  4. Step 4: Simplify right side
    18,335,693,974x = 1,543,333,375,848,161,214,464
  5. Step 5: Solve for x
    x = 1,543,333,375,848,161,214,464/18,335,693,974
  6. Step 6: Final answer
    x = 84,170,982,458.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.