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Finding the Third Proportional to 25,432,009 and 54,500,306

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Solution

The third proportional to 25,432,009 and 54,500,306 is: 116,793,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,432,009 : 54,500,306 = 54,500,306 : x
  2. Step 2: Convert to fraction form
    25,432,009/54,500,306 = 54,500,306/x
  3. Step 3: Cross multiply
    25,432,009x = 54,500,306 × 54,500,306
  4. Step 4: Simplify right side
    25,432,009x = 2,970,283,354,093,636
  5. Step 5: Solve for x
    x = 2,970,283,354,093,636/25,432,009
  6. Step 6: Final answer
    x = 116,793,107.23

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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.