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Finding the Third Proportional to 3,814,262 and 8,083,420

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Solution

The third proportional to 3,814,262 and 8,083,420 is: 17,130,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814,262 : 8,083,420 = 8,083,420 : x
  2. Step 2: Convert to fraction form
    3,814,262/8,083,420 = 8,083,420/x
  3. Step 3: Cross multiply
    3,814,262x = 8,083,420 × 8,083,420
  4. Step 4: Simplify right side
    3,814,262x = 65,341,678,896,400
  5. Step 5: Solve for x
    x = 65,341,678,896,400/3,814,262
  6. Step 6: Final answer
    x = 17,130,883.75

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.