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Finding the Third Proportional to 25,277,749.50 and 54,460,357.50

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Solution

The third proportional to 25,277,749.50 and 54,460,357.50 is: 117,333,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,277,749.50 : 54,460,357.50 = 54,460,357.50 : x
  2. Step 2: Convert to fraction form
    25,277,749.50/54,460,357.50 = 54,460,357.50/x
  3. Step 3: Cross multiply
    25,277,749.50x = 54,460,357.50 × 54,460,357.50
  4. Step 4: Simplify right side
    25,277,749.50x = 2,965,930,539,027,806
  5. Step 5: Solve for x
    x = 2,965,930,539,027,806/25,277,749.50
  6. Step 6: Final answer
    x = 117,333,647.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.