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Finding the Third Proportional to 14,961,954 and 32,212,320

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Solution

The third proportional to 14,961,954 and 32,212,320 is: 69,351,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,961,954 : 32,212,320 = 32,212,320 : x
  2. Step 2: Convert to fraction form
    14,961,954/32,212,320 = 32,212,320/x
  3. Step 3: Cross multiply
    14,961,954x = 32,212,320 × 32,212,320
  4. Step 4: Simplify right side
    14,961,954x = 1,037,633,559,782,400
  5. Step 5: Solve for x
    x = 1,037,633,559,782,400/14,961,954
  6. Step 6: Final answer
    x = 69,351,473.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.