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Finding the Third Proportional to 10,275,568 and 22,360,041

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Solution

The third proportional to 10,275,568 and 22,360,041 is: 48,656,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275,568 : 22,360,041 = 22,360,041 : x
  2. Step 2: Convert to fraction form
    10,275,568/22,360,041 = 22,360,041/x
  3. Step 3: Cross multiply
    10,275,568x = 22,360,041 × 22,360,041
  4. Step 4: Simplify right side
    10,275,568x = 499,971,433,521,681
  5. Step 5: Solve for x
    x = 499,971,433,521,681/10,275,568
  6. Step 6: Final answer
    x = 48,656,330.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.