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Finding the Third Proportional to 34,109,642 and 52,481,901

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Solution

The third proportional to 34,109,642 and 52,481,901 is: 80,749,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,109,642 : 52,481,901 = 52,481,901 : x
  2. Step 2: Convert to fraction form
    34,109,642/52,481,901 = 52,481,901/x
  3. Step 3: Cross multiply
    34,109,642x = 52,481,901 × 52,481,901
  4. Step 4: Simplify right side
    34,109,642x = 2,754,349,932,573,801
  5. Step 5: Solve for x
    x = 2,754,349,932,573,801/34,109,642
  6. Step 6: Final answer
    x = 80,749,892.73

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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.