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Finding the Third Proportional to 9,633,759 and 15,815,262.75

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Solution

The third proportional to 9,633,759 and 15,815,262.75 is: 25,963,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633,759 : 15,815,262.75 = 15,815,262.75 : x
  2. Step 2: Convert to fraction form
    9,633,759/15,815,262.75 = 15,815,262.75/x
  3. Step 3: Cross multiply
    9,633,759x = 15,815,262.75 × 15,815,262.75
  4. Step 4: Simplify right side
    9,633,759x = 250,122,535,851,537.56
  5. Step 5: Solve for x
    x = 250,122,535,851,537.56/9,633,759
  6. Step 6: Final answer
    x = 25,963,129.85

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.