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Finding the Third Proportional to 14,022,682 and 21,540,549

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Solution

The third proportional to 14,022,682 and 21,540,549 is: 33,088,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022,682 : 21,540,549 = 21,540,549 : x
  2. Step 2: Convert to fraction form
    14,022,682/21,540,549 = 21,540,549/x
  3. Step 3: Cross multiply
    14,022,682x = 21,540,549 × 21,540,549
  4. Step 4: Simplify right side
    14,022,682x = 463,995,251,221,401
  5. Step 5: Solve for x
    x = 463,995,251,221,401/14,022,682
  6. Step 6: Final answer
    x = 33,088,909.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.