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Finding the Third Proportional to 14,005,924 and 30,465,824

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Solution

The third proportional to 14,005,924 and 30,465,824 is: 66,269,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005,924 : 30,465,824 = 30,465,824 : x
  2. Step 2: Convert to fraction form
    14,005,924/30,465,824 = 30,465,824/x
  3. Step 3: Cross multiply
    14,005,924x = 30,465,824 × 30,465,824
  4. Step 4: Simplify right side
    14,005,924x = 928,166,431,998,976
  5. Step 5: Solve for x
    x = 928,166,431,998,976/14,005,924
  6. Step 6: Final answer
    x = 66,269,560.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.