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Finding the Third Proportional to 13,786,042 and 30,310,004

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Solution

The third proportional to 13,786,042 and 30,310,004 is: 66,639,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786,042 : 30,310,004 = 30,310,004 : x
  2. Step 2: Convert to fraction form
    13,786,042/30,310,004 = 30,310,004/x
  3. Step 3: Cross multiply
    13,786,042x = 30,310,004 × 30,310,004
  4. Step 4: Simplify right side
    13,786,042x = 918,696,342,480,016
  5. Step 5: Solve for x
    x = 918,696,342,480,016/13,786,042
  6. Step 6: Final answer
    x = 66,639,601.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.