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Finding the Third Proportional to 4,069,731.09 and 8,474,382

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Solution

The third proportional to 4,069,731.09 and 8,474,382 is: 17,646,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069,731.09 : 8,474,382 = 8,474,382 : x
  2. Step 2: Convert to fraction form
    4,069,731.09/8,474,382 = 8,474,382/x
  3. Step 3: Cross multiply
    4,069,731.09x = 8,474,382 × 8,474,382
  4. Step 4: Simplify right side
    4,069,731.09x = 71,815,150,281,924
  5. Step 5: Solve for x
    x = 71,815,150,281,924/4,069,731.09
  6. Step 6: Final answer
    x = 17,646,165.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.