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Finding the Third Proportional to 18,979,365,855 and 40,815,061,009

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Solution

The third proportional to 18,979,365,855 and 40,815,061,009 is: 87,772,648,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,979,365,855 : 40,815,061,009 = 40,815,061,009 : x
  2. Step 2: Convert to fraction form
    18,979,365,855/40,815,061,009 = 40,815,061,009/x
  3. Step 3: Cross multiply
    18,979,365,855x = 40,815,061,009 × 40,815,061,009
  4. Step 4: Simplify right side
    18,979,365,855x = 1,665,869,205,168,391,979,008
  5. Step 5: Solve for x
    x = 1,665,869,205,168,391,979,008/18,979,365,855
  6. Step 6: Final answer
    x = 87,772,648,353.77

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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.