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Finding the Third Proportional to 6,834,858 and 14,553,156

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Solution

The third proportional to 6,834,858 and 14,553,156 is: 30,987,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834,858 : 14,553,156 = 14,553,156 : x
  2. Step 2: Convert to fraction form
    6,834,858/14,553,156 = 14,553,156/x
  3. Step 3: Cross multiply
    6,834,858x = 14,553,156 × 14,553,156
  4. Step 4: Simplify right side
    6,834,858x = 211,794,349,560,336
  5. Step 5: Solve for x
    x = 211,794,349,560,336/6,834,858
  6. Step 6: Final answer
    x = 30,987,381.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.