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Finding the Third Proportional to 13,744,536 and 20,196,072

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Solution

The third proportional to 13,744,536 and 20,196,072 is: 29,675,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744,536 : 20,196,072 = 20,196,072 : x
  2. Step 2: Convert to fraction form
    13,744,536/20,196,072 = 20,196,072/x
  3. Step 3: Cross multiply
    13,744,536x = 20,196,072 × 20,196,072
  4. Step 4: Simplify right side
    13,744,536x = 407,881,324,229,184
  5. Step 5: Solve for x
    x = 407,881,324,229,184/13,744,536
  6. Step 6: Final answer
    x = 29,675,888.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.