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Finding the Third Proportional to 25,504,747.50 and 54,648,082.25

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Solution

The third proportional to 25,504,747.50 and 54,648,082.25 is: 117,092,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,504,747.50 : 54,648,082.25 = 54,648,082.25 : x
  2. Step 2: Convert to fraction form
    25,504,747.50/54,648,082.25 = 54,648,082.25/x
  3. Step 3: Cross multiply
    25,504,747.50x = 54,648,082.25 × 54,648,082.25
  4. Step 4: Simplify right side
    25,504,747.50x = 2,986,412,893,602,765
  5. Step 5: Solve for x
    x = 2,986,412,893,602,765/25,504,747.50
  6. Step 6: Final answer
    x = 117,092,431.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.