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Finding the Third Proportional to 20,829,072 and 45,122,400

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Solution

The third proportional to 20,829,072 and 45,122,400 is: 97,749,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829,072 : 45,122,400 = 45,122,400 : x
  2. Step 2: Convert to fraction form
    20,829,072/45,122,400 = 45,122,400/x
  3. Step 3: Cross multiply
    20,829,072x = 45,122,400 × 45,122,400
  4. Step 4: Simplify right side
    20,829,072x = 2,036,030,981,760,000
  5. Step 5: Solve for x
    x = 2,036,030,981,760,000/20,829,072
  6. Step 6: Final answer
    x = 97,749,481.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.