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Finding the Third Proportional to 14,385,821 and 30,823,593

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Solution

The third proportional to 14,385,821 and 30,823,593 is: 66,043,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385,821 : 30,823,593 = 30,823,593 : x
  2. Step 2: Convert to fraction form
    14,385,821/30,823,593 = 30,823,593/x
  3. Step 3: Cross multiply
    14,385,821x = 30,823,593 × 30,823,593
  4. Step 4: Simplify right side
    14,385,821x = 950,093,885,429,649
  5. Step 5: Solve for x
    x = 950,093,885,429,649/14,385,821
  6. Step 6: Final answer
    x = 66,043,772.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.