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Finding the Third Proportional to 14,082,213 and 30,185,493

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Solution

The third proportional to 14,082,213 and 30,185,493 is: 64,703,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082,213 : 30,185,493 = 30,185,493 : x
  2. Step 2: Convert to fraction form
    14,082,213/30,185,493 = 30,185,493/x
  3. Step 3: Cross multiply
    14,082,213x = 30,185,493 × 30,185,493
  4. Step 4: Simplify right side
    14,082,213x = 911,163,987,653,049
  5. Step 5: Solve for x
    x = 911,163,987,653,049/14,082,213
  6. Step 6: Final answer
    x = 64,703,181.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.