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Finding the Third Proportional to 15,945,474 and 34,016,964

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Solution

The third proportional to 15,945,474 and 34,016,964 is: 72,569,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,945,474 : 34,016,964 = 34,016,964 : x
  2. Step 2: Convert to fraction form
    15,945,474/34,016,964 = 34,016,964/x
  3. Step 3: Cross multiply
    15,945,474x = 34,016,964 × 34,016,964
  4. Step 4: Simplify right side
    15,945,474x = 1,157,153,839,777,296
  5. Step 5: Solve for x
    x = 1,157,153,839,777,296/15,945,474
  6. Step 6: Final answer
    x = 72,569,422.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.