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Finding the Third Proportional to 6,307,206 and 13,835,232

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Solution

The third proportional to 6,307,206 and 13,835,232 is: 30,348,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307,206 : 13,835,232 = 13,835,232 : x
  2. Step 2: Convert to fraction form
    6,307,206/13,835,232 = 13,835,232/x
  3. Step 3: Cross multiply
    6,307,206x = 13,835,232 × 13,835,232
  4. Step 4: Simplify right side
    6,307,206x = 191,413,644,493,824
  5. Step 5: Solve for x
    x = 191,413,644,493,824/6,307,206
  6. Step 6: Final answer
    x = 30,348,405.38

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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.