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Finding the Third Proportional to 34,497,536 and 75,994,822

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Solution

The third proportional to 34,497,536 and 75,994,822 is: 167,409,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,497,536 : 75,994,822 = 75,994,822 : x
  2. Step 2: Convert to fraction form
    34,497,536/75,994,822 = 75,994,822/x
  3. Step 3: Cross multiply
    34,497,536x = 75,994,822 × 75,994,822
  4. Step 4: Simplify right side
    34,497,536x = 5,775,212,970,811,684
  5. Step 5: Solve for x
    x = 5,775,212,970,811,684/34,497,536
  6. Step 6: Final answer
    x = 167,409,433.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.