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Finding the Third Proportional to 16,414,898 and 25,178,698

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Solution

The third proportional to 16,414,898 and 25,178,698 is: 38,621,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414,898 : 25,178,698 = 25,178,698 : x
  2. Step 2: Convert to fraction form
    16,414,898/25,178,698 = 25,178,698/x
  3. Step 3: Cross multiply
    16,414,898x = 25,178,698 × 25,178,698
  4. Step 4: Simplify right side
    16,414,898x = 633,966,832,975,204
  5. Step 5: Solve for x
    x = 633,966,832,975,204/16,414,898
  6. Step 6: Final answer
    x = 38,621,429.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.