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Finding the Third Proportional to 20,821,784 and 32,418,616

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Solution

The third proportional to 20,821,784 and 32,418,616 is: 50,474,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821,784 : 32,418,616 = 32,418,616 : x
  2. Step 2: Convert to fraction form
    20,821,784/32,418,616 = 32,418,616/x
  3. Step 3: Cross multiply
    20,821,784x = 32,418,616 × 32,418,616
  4. Step 4: Simplify right side
    20,821,784x = 1,050,966,663,355,456
  5. Step 5: Solve for x
    x = 1,050,966,663,355,456/20,821,784
  6. Step 6: Final answer
    x = 50,474,381.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.