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Finding the Third Proportional to 5,146,450 and 7,569,965

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Solution

The third proportional to 5,146,450 and 7,569,965 is: 11,134,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,450 : 7,569,965 = 7,569,965 : x
  2. Step 2: Convert to fraction form
    5,146,450/7,569,965 = 7,569,965/x
  3. Step 3: Cross multiply
    5,146,450x = 7,569,965 × 7,569,965
  4. Step 4: Simplify right side
    5,146,450x = 57,304,370,101,225
  5. Step 5: Solve for x
    x = 57,304,370,101,225/5,146,450
  6. Step 6: Final answer
    x = 11,134,737.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.