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Finding the Third Proportional to 8,203,602 and 17,883,348

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Solution

The third proportional to 8,203,602 and 17,883,348 is: 38,984,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203,602 : 17,883,348 = 17,883,348 : x
  2. Step 2: Convert to fraction form
    8,203,602/17,883,348 = 17,883,348/x
  3. Step 3: Cross multiply
    8,203,602x = 17,883,348 × 17,883,348
  4. Step 4: Simplify right side
    8,203,602x = 319,814,135,689,104
  5. Step 5: Solve for x
    x = 319,814,135,689,104/8,203,602
  6. Step 6: Final answer
    x = 38,984,599.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.