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Finding the Third Proportional to 12,575,677 and 25,613,824

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Solution

The third proportional to 12,575,677 and 25,613,824 is: 52,169,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575,677 : 25,613,824 = 25,613,824 : x
  2. Step 2: Convert to fraction form
    12,575,677/25,613,824 = 25,613,824/x
  3. Step 3: Cross multiply
    12,575,677x = 25,613,824 × 25,613,824
  4. Step 4: Simplify right side
    12,575,677x = 656,067,979,902,976
  5. Step 5: Solve for x
    x = 656,067,979,902,976/12,575,677
  6. Step 6: Final answer
    x = 52,169,595.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.