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Finding the Third Proportional to 14,408,784 and 20,265,336

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Solution

The third proportional to 14,408,784 and 20,265,336 is: 28,502,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408,784 : 20,265,336 = 20,265,336 : x
  2. Step 2: Convert to fraction form
    14,408,784/20,265,336 = 20,265,336/x
  3. Step 3: Cross multiply
    14,408,784x = 20,265,336 × 20,265,336
  4. Step 4: Simplify right side
    14,408,784x = 410,683,843,192,896
  5. Step 5: Solve for x
    x = 410,683,843,192,896/14,408,784
  6. Step 6: Final answer
    x = 28,502,324.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.