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Finding the Third Proportional to 16,275,600 and 25,178,700

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Solution

The third proportional to 16,275,600 and 25,178,700 is: 38,951,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275,600 : 25,178,700 = 25,178,700 : x
  2. Step 2: Convert to fraction form
    16,275,600/25,178,700 = 25,178,700/x
  3. Step 3: Cross multiply
    16,275,600x = 25,178,700 × 25,178,700
  4. Step 4: Simplify right side
    16,275,600x = 633,966,933,690,000
  5. Step 5: Solve for x
    x = 633,966,933,690,000/16,275,600
  6. Step 6: Final answer
    x = 38,951,985.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.