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Finding the Third Proportional to 23,599,461 and 51,352,035

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Solution

The third proportional to 23,599,461 and 51,352,035 is: 111,741,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,599,461 : 51,352,035 = 51,352,035 : x
  2. Step 2: Convert to fraction form
    23,599,461/51,352,035 = 51,352,035/x
  3. Step 3: Cross multiply
    23,599,461x = 51,352,035 × 51,352,035
  4. Step 4: Simplify right side
    23,599,461x = 2,637,031,498,641,225
  5. Step 5: Solve for x
    x = 2,637,031,498,641,225/23,599,461
  6. Step 6: Final answer
    x = 111,741,174.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.