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Finding the Third Proportional to 14,449,920 and 21,604,032

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Solution

The third proportional to 14,449,920 and 21,604,032 is: 32,300,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449,920 : 21,604,032 = 21,604,032 : x
  2. Step 2: Convert to fraction form
    14,449,920/21,604,032 = 21,604,032/x
  3. Step 3: Cross multiply
    14,449,920x = 21,604,032 × 21,604,032
  4. Step 4: Simplify right side
    14,449,920x = 466,734,198,657,024
  5. Step 5: Solve for x
    x = 466,734,198,657,024/14,449,920
  6. Step 6: Final answer
    x = 32,300,123.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.