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Finding the Third Proportional to 8,203,648 and 17,883,440

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Solution

The third proportional to 8,203,648 and 17,883,440 is: 38,984,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203,648 : 17,883,440 = 17,883,440 : x
  2. Step 2: Convert to fraction form
    8,203,648/17,883,440 = 17,883,440/x
  3. Step 3: Cross multiply
    8,203,648x = 17,883,440 × 17,883,440
  4. Step 4: Simplify right side
    8,203,648x = 319,817,426,233,600
  5. Step 5: Solve for x
    x = 319,817,426,233,600/8,203,648
  6. Step 6: Final answer
    x = 38,984,781.68

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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.