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Finding the Third Proportional to 5,357,142 and 8,084,016

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Solution

The third proportional to 5,357,142 and 8,084,016 is: 12,198,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357,142 : 8,084,016 = 8,084,016 : x
  2. Step 2: Convert to fraction form
    5,357,142/8,084,016 = 8,084,016/x
  3. Step 3: Cross multiply
    5,357,142x = 8,084,016 × 8,084,016
  4. Step 4: Simplify right side
    5,357,142x = 65,351,314,688,256
  5. Step 5: Solve for x
    x = 65,351,314,688,256/5,357,142
  6. Step 6: Final answer
    x = 12,198,914.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.