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Finding the Third Proportional to 10,786,498.50 and 23,108,271

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Solution

The third proportional to 10,786,498.50 and 23,108,271 is: 49,505,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786,498.50 : 23,108,271 = 23,108,271 : x
  2. Step 2: Convert to fraction form
    10,786,498.50/23,108,271 = 23,108,271/x
  3. Step 3: Cross multiply
    10,786,498.50x = 23,108,271 × 23,108,271
  4. Step 4: Simplify right side
    10,786,498.50x = 533,992,188,609,441
  5. Step 5: Solve for x
    x = 533,992,188,609,441/10,786,498.50
  6. Step 6: Final answer
    x = 49,505,610.06

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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.