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Finding the Third Proportional to 6,286,352.44 and 9,612,234.38

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Solution

The third proportional to 6,286,352.44 and 9,612,234.38 is: 14,697,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,352.44 : 9,612,234.38 = 9,612,234.38 : x
  2. Step 2: Convert to fraction form
    6,286,352.44/9,612,234.38 = 9,612,234.38/x
  3. Step 3: Cross multiply
    6,286,352.44x = 9,612,234.38 × 9,612,234.38
  4. Step 4: Simplify right side
    6,286,352.44x = 92,395,049,679,931.64
  5. Step 5: Solve for x
    x = 92,395,049,679,931.64/6,286,352.44
  6. Step 6: Final answer
    x = 14,697,720.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.