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Finding the Third Proportional to 20,240,821 and 31,135,483.50

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Solution

The third proportional to 20,240,821 and 31,135,483.50 is: 47,894,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240,821 : 31,135,483.50 = 31,135,483.50 : x
  2. Step 2: Convert to fraction form
    20,240,821/31,135,483.50 = 31,135,483.50/x
  3. Step 3: Cross multiply
    20,240,821x = 31,135,483.50 × 31,135,483.50
  4. Step 4: Simplify right side
    20,240,821x = 969,418,332,778,772.25
  5. Step 5: Solve for x
    x = 969,418,332,778,772.25/20,240,821
  6. Step 6: Final answer
    x = 47,894,219.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.