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Finding the Third Proportional to 16,071,777 and 24,252,682.50

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Solution

The third proportional to 16,071,777 and 24,252,682.50 is: 36,597,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071,777 : 24,252,682.50 = 24,252,682.50 : x
  2. Step 2: Convert to fraction form
    16,071,777/24,252,682.50 = 24,252,682.50/x
  3. Step 3: Cross multiply
    16,071,777x = 24,252,682.50 × 24,252,682.50
  4. Step 4: Simplify right side
    16,071,777x = 588,192,608,445,806.25
  5. Step 5: Solve for x
    x = 588,192,608,445,806.25/16,071,777
  6. Step 6: Final answer
    x = 36,597,857.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.