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Finding the Third Proportional to 6,513,212 and 13,922,770

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Solution

The third proportional to 6,513,212 and 13,922,770 is: 29,761,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,212 : 13,922,770 = 13,922,770 : x
  2. Step 2: Convert to fraction form
    6,513,212/13,922,770 = 13,922,770/x
  3. Step 3: Cross multiply
    6,513,212x = 13,922,770 × 13,922,770
  4. Step 4: Simplify right side
    6,513,212x = 193,843,524,472,900
  5. Step 5: Solve for x
    x = 193,843,524,472,900/6,513,212
  6. Step 6: Final answer
    x = 29,761,586.83

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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.