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Finding the Third Proportional to 34,986,234 and 75,919,424

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Solution

The third proportional to 34,986,234 and 75,919,424 is: 164,743,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,986,234 : 75,919,424 = 75,919,424 : x
  2. Step 2: Convert to fraction form
    34,986,234/75,919,424 = 75,919,424/x
  3. Step 3: Cross multiply
    34,986,234x = 75,919,424 × 75,919,424
  4. Step 4: Simplify right side
    34,986,234x = 5,763,758,940,491,776
  5. Step 5: Solve for x
    x = 5,763,758,940,491,776/34,986,234
  6. Step 6: Final answer
    x = 164,743,622.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.