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Finding the Third Proportional to 21,882,078 and 47,617,155

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Solution

The third proportional to 21,882,078 and 47,617,155 is: 103,618,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882,078 : 47,617,155 = 47,617,155 : x
  2. Step 2: Convert to fraction form
    21,882,078/47,617,155 = 47,617,155/x
  3. Step 3: Cross multiply
    21,882,078x = 47,617,155 × 47,617,155
  4. Step 4: Simplify right side
    21,882,078x = 2,267,393,450,294,025
  5. Step 5: Solve for x
    x = 2,267,393,450,294,025/21,882,078
  6. Step 6: Final answer
    x = 103,618,744.54

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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.