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Finding the Third Proportional to 6,761,234 and 14,668,942

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Solution

The third proportional to 6,761,234 and 14,668,942 is: 31,825,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761,234 : 14,668,942 = 14,668,942 : x
  2. Step 2: Convert to fraction form
    6,761,234/14,668,942 = 14,668,942/x
  3. Step 3: Cross multiply
    6,761,234x = 14,668,942 × 14,668,942
  4. Step 4: Simplify right side
    6,761,234x = 215,177,859,399,364
  5. Step 5: Solve for x
    x = 215,177,859,399,364/6,761,234
  6. Step 6: Final answer
    x = 31,825,234.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.