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Finding the Third Proportional to 6,513,214 and 13,922,774

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Solution

The third proportional to 6,513,214 and 13,922,774 is: 29,761,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,214 : 13,922,774 = 13,922,774 : x
  2. Step 2: Convert to fraction form
    6,513,214/13,922,774 = 13,922,774/x
  3. Step 3: Cross multiply
    6,513,214x = 13,922,774 × 13,922,774
  4. Step 4: Simplify right side
    6,513,214x = 193,843,635,855,076
  5. Step 5: Solve for x
    x = 193,843,635,855,076/6,513,214
  6. Step 6: Final answer
    x = 29,761,594.79

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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.