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Finding the Third Proportional to 20,451,870 and 45,443,765

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Solution

The third proportional to 20,451,870 and 45,443,765 is: 100,975,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451,870 : 45,443,765 = 45,443,765 : x
  2. Step 2: Convert to fraction form
    20,451,870/45,443,765 = 45,443,765/x
  3. Step 3: Cross multiply
    20,451,870x = 45,443,765 × 45,443,765
  4. Step 4: Simplify right side
    20,451,870x = 2,065,135,777,375,225
  5. Step 5: Solve for x
    x = 2,065,135,777,375,225/20,451,870
  6. Step 6: Final answer
    x = 100,975,401.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.