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Finding the Third Proportional to 6,513,210 and 13,922,766

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Solution

The third proportional to 6,513,210 and 13,922,766 is: 29,761,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,210 : 13,922,766 = 13,922,766 : x
  2. Step 2: Convert to fraction form
    6,513,210/13,922,766 = 13,922,766/x
  3. Step 3: Cross multiply
    6,513,210x = 13,922,766 × 13,922,766
  4. Step 4: Simplify right side
    6,513,210x = 193,843,413,090,756
  5. Step 5: Solve for x
    x = 193,843,413,090,756/6,513,210
  6. Step 6: Final answer
    x = 29,761,578.87

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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.