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Finding the Third Proportional to 9,510,430 and 20,771,851

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Solution

The third proportional to 9,510,430 and 20,771,851 is: 45,368,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510,430 : 20,771,851 = 20,771,851 : x
  2. Step 2: Convert to fraction form
    9,510,430/20,771,851 = 20,771,851/x
  3. Step 3: Cross multiply
    9,510,430x = 20,771,851 × 20,771,851
  4. Step 4: Simplify right side
    9,510,430x = 431,469,793,966,201
  5. Step 5: Solve for x
    x = 431,469,793,966,201/9,510,430
  6. Step 6: Final answer
    x = 45,368,063.69

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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.