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Finding the Third Proportional to 7,960,573.50 and 17,410,467

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Solution

The third proportional to 7,960,573.50 and 17,410,467 is: 38,078,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960,573.50 : 17,410,467 = 17,410,467 : x
  2. Step 2: Convert to fraction form
    7,960,573.50/17,410,467 = 17,410,467/x
  3. Step 3: Cross multiply
    7,960,573.50x = 17,410,467 × 17,410,467
  4. Step 4: Simplify right side
    7,960,573.50x = 303,124,361,158,089
  5. Step 5: Solve for x
    x = 303,124,361,158,089/7,960,573.50
  6. Step 6: Final answer
    x = 38,078,206.45

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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.