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Finding the Third Proportional to 10,585,201.50 and 22,962,771

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Solution

The third proportional to 10,585,201.50 and 22,962,771 is: 49,813,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585,201.50 : 22,962,771 = 22,962,771 : x
  2. Step 2: Convert to fraction form
    10,585,201.50/22,962,771 = 22,962,771/x
  3. Step 3: Cross multiply
    10,585,201.50x = 22,962,771 × 22,962,771
  4. Step 4: Simplify right side
    10,585,201.50x = 527,288,851,998,441
  5. Step 5: Solve for x
    x = 527,288,851,998,441/10,585,201.50
  6. Step 6: Final answer
    x = 49,813,775.58

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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.