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Finding the Third Proportional to 3,817,577.25 and 8,232,921

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Solution

The third proportional to 3,817,577.25 and 8,232,921 is: 17,754,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817,577.25 : 8,232,921 = 8,232,921 : x
  2. Step 2: Convert to fraction form
    3,817,577.25/8,232,921 = 8,232,921/x
  3. Step 3: Cross multiply
    3,817,577.25x = 8,232,921 × 8,232,921
  4. Step 4: Simplify right side
    3,817,577.25x = 67,780,988,192,241
  5. Step 5: Solve for x
    x = 67,780,988,192,241/3,817,577.25
  6. Step 6: Final answer
    x = 17,754,974.88

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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.