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Finding the Third Proportional to 10,302,021 and 22,397,661

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Solution

The third proportional to 10,302,021 and 22,397,661 is: 48,694,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302,021 : 22,397,661 = 22,397,661 : x
  2. Step 2: Convert to fraction form
    10,302,021/22,397,661 = 22,397,661/x
  3. Step 3: Cross multiply
    10,302,021x = 22,397,661 × 22,397,661
  4. Step 4: Simplify right side
    10,302,021x = 501,655,218,270,921
  5. Step 5: Solve for x
    x = 501,655,218,270,921/10,302,021
  6. Step 6: Final answer
    x = 48,694,835.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.