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Finding the Third Proportional to 8,216,194.50 and 17,731,449

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Solution

The third proportional to 8,216,194.50 and 17,731,449 is: 38,266,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216,194.50 : 17,731,449 = 17,731,449 : x
  2. Step 2: Convert to fraction form
    8,216,194.50/17,731,449 = 17,731,449/x
  3. Step 3: Cross multiply
    8,216,194.50x = 17,731,449 × 17,731,449
  4. Step 4: Simplify right side
    8,216,194.50x = 314,404,283,639,601
  5. Step 5: Solve for x
    x = 314,404,283,639,601/8,216,194.50
  6. Step 6: Final answer
    x = 38,266,411.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.