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Finding the Third Proportional to 21,297,771 and 46,647,823.50

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Solution

The third proportional to 21,297,771 and 46,647,823.50 is: 102,171,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,297,771 : 46,647,823.50 = 46,647,823.50 : x
  2. Step 2: Convert to fraction form
    21,297,771/46,647,823.50 = 46,647,823.50/x
  3. Step 3: Cross multiply
    21,297,771x = 46,647,823.50 × 46,647,823.50
  4. Step 4: Simplify right side
    21,297,771x = 2,176,019,437,287,152.25
  5. Step 5: Solve for x
    x = 2,176,019,437,287,152.25/21,297,771
  6. Step 6: Final answer
    x = 102,171,228.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.