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Finding the Third Proportional to 23,633,009 and 51,299,413

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Solution

The third proportional to 23,633,009 and 51,299,413 is: 111,353,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633,009 : 51,299,413 = 51,299,413 : x
  2. Step 2: Convert to fraction form
    23,633,009/51,299,413 = 51,299,413/x
  3. Step 3: Cross multiply
    23,633,009x = 51,299,413 × 51,299,413
  4. Step 4: Simplify right side
    23,633,009x = 2,631,629,774,144,569
  5. Step 5: Solve for x
    x = 2,631,629,774,144,569/23,633,009
  6. Step 6: Final answer
    x = 111,353,986.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.