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Finding the Third Proportional to 4,096,761 and 8,314,623

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Solution

The third proportional to 4,096,761 and 8,314,623 is: 16,875,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096,761 : 8,314,623 = 8,314,623 : x
  2. Step 2: Convert to fraction form
    4,096,761/8,314,623 = 8,314,623/x
  3. Step 3: Cross multiply
    4,096,761x = 8,314,623 × 8,314,623
  4. Step 4: Simplify right side
    4,096,761x = 69,132,955,632,129
  5. Step 5: Solve for x
    x = 69,132,955,632,129/4,096,761
  6. Step 6: Final answer
    x = 16,875,027.77

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.