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Finding the Third Proportional to 41,723,784 and 84,626,700

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Solution

The third proportional to 41,723,784 and 84,626,700 is: 171,644,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,723,784 : 84,626,700 = 84,626,700 : x
  2. Step 2: Convert to fraction form
    41,723,784/84,626,700 = 84,626,700/x
  3. Step 3: Cross multiply
    41,723,784x = 84,626,700 × 84,626,700
  4. Step 4: Simplify right side
    41,723,784x = 7,161,678,352,890,000
  5. Step 5: Solve for x
    x = 7,161,678,352,890,000/41,723,784
  6. Step 6: Final answer
    x = 171,644,986.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.