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Finding the Third Proportional to 6,454,610 and 13,905,078

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Solution

The third proportional to 6,454,610 and 13,905,078 is: 29,955,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454,610 : 13,905,078 = 13,905,078 : x
  2. Step 2: Convert to fraction form
    6,454,610/13,905,078 = 13,905,078/x
  3. Step 3: Cross multiply
    6,454,610x = 13,905,078 × 13,905,078
  4. Step 4: Simplify right side
    6,454,610x = 193,351,194,186,084
  5. Step 5: Solve for x
    x = 193,351,194,186,084/6,454,610
  6. Step 6: Final answer
    x = 29,955,519.26

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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.