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Finding the Third Proportional to 34,109,648 and 52,481,910

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Solution

The third proportional to 34,109,648 and 52,481,910 is: 80,749,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,109,648 : 52,481,910 = 52,481,910 : x
  2. Step 2: Convert to fraction form
    34,109,648/52,481,910 = 52,481,910/x
  3. Step 3: Cross multiply
    34,109,648x = 52,481,910 × 52,481,910
  4. Step 4: Simplify right side
    34,109,648x = 2,754,350,877,248,100
  5. Step 5: Solve for x
    x = 2,754,350,877,248,100/34,109,648
  6. Step 6: Final answer
    x = 80,749,906.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.