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Finding the Third Proportional to 13,613,868 and 29,029,824

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Solution

The third proportional to 13,613,868 and 29,029,824 is: 61,902,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613,868 : 29,029,824 = 29,029,824 : x
  2. Step 2: Convert to fraction form
    13,613,868/29,029,824 = 29,029,824/x
  3. Step 3: Cross multiply
    13,613,868x = 29,029,824 × 29,029,824
  4. Step 4: Simplify right side
    13,613,868x = 842,730,681,470,976
  5. Step 5: Solve for x
    x = 842,730,681,470,976/13,613,868
  6. Step 6: Final answer
    x = 61,902,369.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.