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Finding the Third Proportional to 20,133,816 and 30,202,911

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Solution

The third proportional to 20,133,816 and 30,202,911 is: 45,307,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133,816 : 30,202,911 = 30,202,911 : x
  2. Step 2: Convert to fraction form
    20,133,816/30,202,911 = 30,202,911/x
  3. Step 3: Cross multiply
    20,133,816x = 30,202,911 × 30,202,911
  4. Step 4: Simplify right side
    20,133,816x = 912,215,832,873,921
  5. Step 5: Solve for x
    x = 912,215,832,873,921/20,133,816
  6. Step 6: Final answer
    x = 45,307,647.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.