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Finding the Third Proportional to 18,399,432,930 and 40,022,636,904

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Solution

The third proportional to 18,399,432,930 and 40,022,636,904 is: 87,057,653,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,399,432,930 : 40,022,636,904 = 40,022,636,904 : x
  2. Step 2: Convert to fraction form
    18,399,432,930/40,022,636,904 = 40,022,636,904/x
  3. Step 3: Cross multiply
    18,399,432,930x = 40,022,636,904 × 40,022,636,904
  4. Step 4: Simplify right side
    18,399,432,930x = 1,601,811,464,749,422,739,456
  5. Step 5: Solve for x
    x = 1,601,811,464,749,422,739,456/18,399,432,930
  6. Step 6: Final answer
    x = 87,057,653,942.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.