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Finding the Third Proportional to 8,018,064 and 17,483,292

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Solution

The third proportional to 8,018,064 and 17,483,292 is: 38,122,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,018,064 : 17,483,292 = 17,483,292 : x
  2. Step 2: Convert to fraction form
    8,018,064/17,483,292 = 17,483,292/x
  3. Step 3: Cross multiply
    8,018,064x = 17,483,292 × 17,483,292
  4. Step 4: Simplify right side
    8,018,064x = 305,665,499,157,264
  5. Step 5: Solve for x
    x = 305,665,499,157,264/8,018,064
  6. Step 6: Final answer
    x = 38,122,107.68

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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.