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Finding the Third Proportional to 10,823,060.25 and 22,541,697

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Solution

The third proportional to 10,823,060.25 and 22,541,697 is: 46,948,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823,060.25 : 22,541,697 = 22,541,697 : x
  2. Step 2: Convert to fraction form
    10,823,060.25/22,541,697 = 22,541,697/x
  3. Step 3: Cross multiply
    10,823,060.25x = 22,541,697 × 22,541,697
  4. Step 4: Simplify right side
    10,823,060.25x = 508,128,103,639,809
  5. Step 5: Solve for x
    x = 508,128,103,639,809/10,823,060.25
  6. Step 6: Final answer
    x = 46,948,653.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.