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Finding the Third Proportional to 7,438,405,932 and 16,184,299,212

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Solution

The third proportional to 7,438,405,932 and 16,184,299,212 is: 35,213,396,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438,405,932 : 16,184,299,212 = 16,184,299,212 : x
  2. Step 2: Convert to fraction form
    7,438,405,932/16,184,299,212 = 16,184,299,212/x
  3. Step 3: Cross multiply
    7,438,405,932x = 16,184,299,212 × 16,184,299,212
  4. Step 4: Simplify right side
    7,438,405,932x = 261,931,540,983,543,824,384
  5. Step 5: Solve for x
    x = 261,931,540,983,543,824,384/7,438,405,932
  6. Step 6: Final answer
    x = 35,213,396,980.22

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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.