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Finding the Third Proportional to 34,109,564 and 52,481,772

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Solution

The third proportional to 34,109,564 and 52,481,772 is: 80,749,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,109,564 : 52,481,772 = 52,481,772 : x
  2. Step 2: Convert to fraction form
    34,109,564/52,481,772 = 52,481,772/x
  3. Step 3: Cross multiply
    34,109,564x = 52,481,772 × 52,481,772
  4. Step 4: Simplify right side
    34,109,564x = 2,754,336,392,259,984
  5. Step 5: Solve for x
    x = 2,754,336,392,259,984/34,109,564
  6. Step 6: Final answer
    x = 80,749,680.42

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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.