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Finding the Third Proportional to 18,399,432,789 and 40,022,636,596.50

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Solution

The third proportional to 18,399,432,789 and 40,022,636,596.50 is: 87,057,653,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,399,432,789 : 40,022,636,596.50 = 40,022,636,596.50 : x
  2. Step 2: Convert to fraction form
    18,399,432,789/40,022,636,596.50 = 40,022,636,596.50/x
  3. Step 3: Cross multiply
    18,399,432,789x = 40,022,636,596.50 × 40,022,636,596.50
  4. Step 4: Simplify right side
    18,399,432,789x = 1,601,811,440,135,500,988,416
  5. Step 5: Solve for x
    x = 1,601,811,440,135,500,988,416/18,399,432,789
  6. Step 6: Final answer
    x = 87,057,653,271.42

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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.