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Finding the Third Proportional to 6,438,652 and 13,644,942

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Solution

The third proportional to 6,438,652 and 13,644,942 is: 28,916,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,652 : 13,644,942 = 13,644,942 : x
  2. Step 2: Convert to fraction form
    6,438,652/13,644,942 = 13,644,942/x
  3. Step 3: Cross multiply
    6,438,652x = 13,644,942 × 13,644,942
  4. Step 4: Simplify right side
    6,438,652x = 186,184,442,183,364
  5. Step 5: Solve for x
    x = 186,184,442,183,364/6,438,652
  6. Step 6: Final answer
    x = 28,916,680.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.