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Finding the Third Proportional to 8,203,371 and 17,678,520

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Solution

The third proportional to 8,203,371 and 17,678,520 is: 38,097,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203,371 : 17,678,520 = 17,678,520 : x
  2. Step 2: Convert to fraction form
    8,203,371/17,678,520 = 17,678,520/x
  3. Step 3: Cross multiply
    8,203,371x = 17,678,520 × 17,678,520
  4. Step 4: Simplify right side
    8,203,371x = 312,530,069,390,400
  5. Step 5: Solve for x
    x = 312,530,069,390,400/8,203,371
  6. Step 6: Final answer
    x = 38,097,761.20

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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.