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Finding the Third Proportional to 6,823,612 and 14,592,008

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Solution

The third proportional to 6,823,612 and 14,592,008 is: 31,204,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823,612 : 14,592,008 = 14,592,008 : x
  2. Step 2: Convert to fraction form
    6,823,612/14,592,008 = 14,592,008/x
  3. Step 3: Cross multiply
    6,823,612x = 14,592,008 × 14,592,008
  4. Step 4: Simplify right side
    6,823,612x = 212,926,697,472,064
  5. Step 5: Solve for x
    x = 212,926,697,472,064/6,823,612
  6. Step 6: Final answer
    x = 31,204,396.95

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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.