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Finding the Third Proportional to 6,302,042 and 13,790,895

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Solution

The third proportional to 6,302,042 and 13,790,895 is: 30,178,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302,042 : 13,790,895 = 13,790,895 : x
  2. Step 2: Convert to fraction form
    6,302,042/13,790,895 = 13,790,895/x
  3. Step 3: Cross multiply
    6,302,042x = 13,790,895 × 13,790,895
  4. Step 4: Simplify right side
    6,302,042x = 190,188,784,901,025
  5. Step 5: Solve for x
    x = 190,188,784,901,025/6,302,042
  6. Step 6: Final answer
    x = 30,178,914.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.