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Finding the Third Proportional to 5,971,968 and 8,045,568

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Solution

The third proportional to 5,971,968 and 8,045,568 is: 10,839,168

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971,968 : 8,045,568 = 8,045,568 : x
  2. Step 2: Convert to fraction form
    5,971,968/8,045,568 = 8,045,568/x
  3. Step 3: Cross multiply
    5,971,968x = 8,045,568 × 8,045,568
  4. Step 4: Simplify right side
    5,971,968x = 64,731,164,442,624
  5. Step 5: Solve for x
    x = 64,731,164,442,624/5,971,968
  6. Step 6: Final answer
    x = 10,839,168

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.