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Finding the Third Proportional to 9,407,344 and 20,608,271

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Solution

The third proportional to 9,407,344 and 20,608,271 is: 45,145,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407,344 : 20,608,271 = 20,608,271 : x
  2. Step 2: Convert to fraction form
    9,407,344/20,608,271 = 20,608,271/x
  3. Step 3: Cross multiply
    9,407,344x = 20,608,271 × 20,608,271
  4. Step 4: Simplify right side
    9,407,344x = 424,700,833,609,441
  5. Step 5: Solve for x
    x = 424,700,833,609,441/9,407,344
  6. Step 6: Final answer
    x = 45,145,668.49

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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.