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Finding the Third Proportional to 2,965,362 and 6,474,466.88

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Solution

The third proportional to 2,965,362 and 6,474,466.88 is: 14,136,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,362 : 6,474,466.88 = 6,474,466.88 : x
  2. Step 2: Convert to fraction form
    2,965,362/6,474,466.88 = 6,474,466.88/x
  3. Step 3: Cross multiply
    2,965,362x = 6,474,466.88 × 6,474,466.88
  4. Step 4: Simplify right side
    2,965,362x = 41,918,721,315,472.27
  5. Step 5: Solve for x
    x = 41,918,721,315,472.27/2,965,362
  6. Step 6: Final answer
    x = 14,136,122.78

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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.