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Finding the Third Proportional to 6,856,922 and 14,745,782

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Solution

The third proportional to 6,856,922 and 14,745,782 is: 31,710,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856,922 : 14,745,782 = 14,745,782 : x
  2. Step 2: Convert to fraction form
    6,856,922/14,745,782 = 14,745,782/x
  3. Step 3: Cross multiply
    6,856,922x = 14,745,782 × 14,745,782
  4. Step 4: Simplify right side
    6,856,922x = 217,438,086,791,524
  5. Step 5: Solve for x
    x = 217,438,086,791,524/6,856,922
  6. Step 6: Final answer
    x = 31,710,742.34

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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.