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Finding the Third Proportional to 6,974,343 and 15,017,400

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Solution

The third proportional to 6,974,343 and 15,017,400 is: 32,335,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974,343 : 15,017,400 = 15,017,400 : x
  2. Step 2: Convert to fraction form
    6,974,343/15,017,400 = 15,017,400/x
  3. Step 3: Cross multiply
    6,974,343x = 15,017,400 × 15,017,400
  4. Step 4: Simplify right side
    6,974,343x = 225,522,302,760,000
  5. Step 5: Solve for x
    x = 225,522,302,760,000/6,974,343
  6. Step 6: Final answer
    x = 32,335,992.47

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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.