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Finding the Third Proportional to 13,840,326 and 32,337,247

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Solution

The third proportional to 13,840,326 and 32,337,247 is: 75,554,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840,326 : 32,337,247 = 32,337,247 : x
  2. Step 2: Convert to fraction form
    13,840,326/32,337,247 = 32,337,247/x
  3. Step 3: Cross multiply
    13,840,326x = 32,337,247 × 32,337,247
  4. Step 4: Simplify right side
    13,840,326x = 1,045,697,543,539,009
  5. Step 5: Solve for x
    x = 1,045,697,543,539,009/13,840,326
  6. Step 6: Final answer
    x = 75,554,401.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.