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Finding the Third Proportional to 27,732,183 and 61,837,446

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Solution

The third proportional to 27,732,183 and 61,837,446 is: 137,885,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732,183 : 61,837,446 = 61,837,446 : x
  2. Step 2: Convert to fraction form
    27,732,183/61,837,446 = 61,837,446/x
  3. Step 3: Cross multiply
    27,732,183x = 61,837,446 × 61,837,446
  4. Step 4: Simplify right side
    27,732,183x = 3,823,869,727,802,916
  5. Step 5: Solve for x
    x = 3,823,869,727,802,916/27,732,183
  6. Step 6: Final answer
    x = 137,885,637.34

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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.