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Finding the Third Proportional to 6,633,414 and 14,063,988

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Solution

The third proportional to 6,633,414 and 14,063,988 is: 29,818,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633,414 : 14,063,988 = 14,063,988 : x
  2. Step 2: Convert to fraction form
    6,633,414/14,063,988 = 14,063,988/x
  3. Step 3: Cross multiply
    6,633,414x = 14,063,988 × 14,063,988
  4. Step 4: Simplify right side
    6,633,414x = 197,795,758,464,144
  5. Step 5: Solve for x
    x = 197,795,758,464,144/6,633,414
  6. Step 6: Final answer
    x = 29,818,093.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.