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Finding the Third Proportional to 6,454,622 and 13,905,102

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Solution

The third proportional to 6,454,622 and 13,905,102 is: 29,955,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454,622 : 13,905,102 = 13,905,102 : x
  2. Step 2: Convert to fraction form
    6,454,622/13,905,102 = 13,905,102/x
  3. Step 3: Cross multiply
    6,454,622x = 13,905,102 × 13,905,102
  4. Step 4: Simplify right side
    6,454,622x = 193,351,861,630,404
  5. Step 5: Solve for x
    x = 193,351,861,630,404/6,454,622
  6. Step 6: Final answer
    x = 29,955,566.98

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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.