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Finding the Third Proportional to 27,732,192 and 61,837,462

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Solution

The third proportional to 27,732,192 and 61,837,462 is: 137,885,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732,192 : 61,837,462 = 61,837,462 : x
  2. Step 2: Convert to fraction form
    27,732,192/61,837,462 = 61,837,462/x
  3. Step 3: Cross multiply
    27,732,192x = 61,837,462 × 61,837,462
  4. Step 4: Simplify right side
    27,732,192x = 3,823,871,706,601,444
  5. Step 5: Solve for x
    x = 3,823,871,706,601,444/27,732,192
  6. Step 6: Final answer
    x = 137,885,663.95

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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.