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Finding the Third Proportional to 3,974,571 and 8,732,971.13

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Solution

The third proportional to 3,974,571 and 8,732,971.13 is: 19,188,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974,571 : 8,732,971.13 = 8,732,971.13 : x
  2. Step 2: Convert to fraction form
    3,974,571/8,732,971.13 = 8,732,971.13/x
  3. Step 3: Cross multiply
    3,974,571x = 8,732,971.13 × 8,732,971.13
  4. Step 4: Simplify right side
    3,974,571x = 76,264,784,670,083.77
  5. Step 5: Solve for x
    x = 76,264,784,670,083.77/3,974,571
  6. Step 6: Final answer
    x = 19,188,180.23

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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.