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Finding the Third Proportional to 9,583,084 and 14,474,436

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Solution

The third proportional to 9,583,084 and 14,474,436 is: 21,862,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583,084 : 14,474,436 = 14,474,436 : x
  2. Step 2: Convert to fraction form
    9,583,084/14,474,436 = 14,474,436/x
  3. Step 3: Cross multiply
    9,583,084x = 14,474,436 × 14,474,436
  4. Step 4: Simplify right side
    9,583,084x = 209,509,297,518,096
  5. Step 5: Solve for x
    x = 209,509,297,518,096/9,583,084
  6. Step 6: Final answer
    x = 21,862,408.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.