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Finding the Third Proportional to 7,829,330 and 17,198,308

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Solution

The third proportional to 7,829,330 and 17,198,308 is: 37,778,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,330 : 17,198,308 = 17,198,308 : x
  2. Step 2: Convert to fraction form
    7,829,330/17,198,308 = 17,198,308/x
  3. Step 3: Cross multiply
    7,829,330x = 17,198,308 × 17,198,308
  4. Step 4: Simplify right side
    7,829,330x = 295,781,798,062,864
  5. Step 5: Solve for x
    x = 295,781,798,062,864/7,829,330
  6. Step 6: Final answer
    x = 37,778,685.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.