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Finding the Third Proportional to 9,568,674 and 20,997,396

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Solution

The third proportional to 9,568,674 and 20,997,396 is: 46,076,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568,674 : 20,997,396 = 20,997,396 : x
  2. Step 2: Convert to fraction form
    9,568,674/20,997,396 = 20,997,396/x
  3. Step 3: Cross multiply
    9,568,674x = 20,997,396 × 20,997,396
  4. Step 4: Simplify right side
    9,568,674x = 440,890,638,780,816
  5. Step 5: Solve for x
    x = 440,890,638,780,816/9,568,674
  6. Step 6: Final answer
    x = 46,076,461.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.