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Finding the Third Proportional to 6,237,934 and 13,651,722

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Solution

The third proportional to 6,237,934 and 13,651,722 is: 29,876,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237,934 : 13,651,722 = 13,651,722 : x
  2. Step 2: Convert to fraction form
    6,237,934/13,651,722 = 13,651,722/x
  3. Step 3: Cross multiply
    6,237,934x = 13,651,722 × 13,651,722
  4. Step 4: Simplify right side
    6,237,934x = 186,369,513,565,284
  5. Step 5: Solve for x
    x = 186,369,513,565,284/6,237,934
  6. Step 6: Final answer
    x = 29,876,801.13

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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.