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Finding the Third Proportional to 2,643,968 and 5,700,096

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Solution

The third proportional to 2,643,968 and 5,700,096 is: 12,288,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643,968 : 5,700,096 = 5,700,096 : x
  2. Step 2: Convert to fraction form
    2,643,968/5,700,096 = 5,700,096/x
  3. Step 3: Cross multiply
    2,643,968x = 5,700,096 × 5,700,096
  4. Step 4: Simplify right side
    2,643,968x = 32,491,094,409,216
  5. Step 5: Solve for x
    x = 32,491,094,409,216/2,643,968
  6. Step 6: Final answer
    x = 12,288,762.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.