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Finding the Third Proportional to 14,315,878 and 21,682,203

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Solution

The third proportional to 14,315,878 and 21,682,203 is: 32,838,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,315,878 : 21,682,203 = 21,682,203 : x
  2. Step 2: Convert to fraction form
    14,315,878/21,682,203 = 21,682,203/x
  3. Step 3: Cross multiply
    14,315,878x = 21,682,203 × 21,682,203
  4. Step 4: Simplify right side
    14,315,878x = 470,117,926,933,209
  5. Step 5: Solve for x
    x = 470,117,926,933,209/14,315,878
  6. Step 6: Final answer
    x = 32,838,916.83

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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.