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Finding the Third Proportional to 22,523,190 and 49,174,889.25

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Solution

The third proportional to 22,523,190 and 49,174,889.25 is: 107,363,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523,190 : 49,174,889.25 = 49,174,889.25 : x
  2. Step 2: Convert to fraction form
    22,523,190/49,174,889.25 = 49,174,889.25/x
  3. Step 3: Cross multiply
    22,523,190x = 49,174,889.25 × 49,174,889.25
  4. Step 4: Simplify right side
    22,523,190x = 2,418,169,732,749,765.50
  5. Step 5: Solve for x
    x = 2,418,169,732,749,765.50/22,523,190
  6. Step 6: Final answer
    x = 107,363,554.31

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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.