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Finding the Third Proportional to 7,734,270 and 16,955,836.50

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Solution

The third proportional to 7,734,270 and 16,955,836.50 is: 37,172,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734,270 : 16,955,836.50 = 16,955,836.50 : x
  2. Step 2: Convert to fraction form
    7,734,270/16,955,836.50 = 16,955,836.50/x
  3. Step 3: Cross multiply
    7,734,270x = 16,955,836.50 × 16,955,836.50
  4. Step 4: Simplify right side
    7,734,270x = 287,500,391,414,732.25
  5. Step 5: Solve for x
    x = 287,500,391,414,732.25/7,734,270
  6. Step 6: Final answer
    x = 37,172,272.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.