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Finding the Third Proportional to 13,744,633 and 20,196,193.50

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Solution

The third proportional to 13,744,633 and 20,196,193.50 is: 29,676,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744,633 : 20,196,193.50 = 20,196,193.50 : x
  2. Step 2: Convert to fraction form
    13,744,633/20,196,193.50 = 20,196,193.50/x
  3. Step 3: Cross multiply
    13,744,633x = 20,196,193.50 × 20,196,193.50
  4. Step 4: Simplify right side
    13,744,633x = 407,886,231,889,442.25
  5. Step 5: Solve for x
    x = 407,886,231,889,442.25/13,744,633
  6. Step 6: Final answer
    x = 29,676,036.59

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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.