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Finding the Third Proportional to 27,726,041 and 61,827,170

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Solution

The third proportional to 27,726,041 and 61,827,170 is: 137,870,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726,041 : 61,827,170 = 61,827,170 : x
  2. Step 2: Convert to fraction form
    27,726,041/61,827,170 = 61,827,170/x
  3. Step 3: Cross multiply
    27,726,041x = 61,827,170 × 61,827,170
  4. Step 4: Simplify right side
    27,726,041x = 3,822,598,950,208,900
  5. Step 5: Solve for x
    x = 3,822,598,950,208,900/27,726,041
  6. Step 6: Final answer
    x = 137,870,349.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.