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Finding the Third Proportional to 6,110,970 and 13,442,232

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Solution

The third proportional to 6,110,970 and 13,442,232 is: 29,568,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110,970 : 13,442,232 = 13,442,232 : x
  2. Step 2: Convert to fraction form
    6,110,970/13,442,232 = 13,442,232/x
  3. Step 3: Cross multiply
    6,110,970x = 13,442,232 × 13,442,232
  4. Step 4: Simplify right side
    6,110,970x = 180,693,601,141,824
  5. Step 5: Solve for x
    x = 180,693,601,141,824/6,110,970
  6. Step 6: Final answer
    x = 29,568,726.59

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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.